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Finding the Fourth Proportional to 102,353.74, 153,530.61 and 39,980.50

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Solution

The fourth proportional to 102,353.74, 153,530.61 and 39,980.50 is: 59,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,353.74 : 153,530.61 = 39,980.50 : x
  2. Step 2: Convert to fraction form
    102,353.74/153,530.61 = 39,980.50/x
  3. Step 3: Cross multiply
    102,353.74x = 153,530.61 × 39,980.50
  4. Step 4: Simplify right side
    102,353.74x = 6,138,230,553.11
  5. Step 5: Solve for x
    x = 6,138,230,553.11/102,353.74
  6. Step 6: Final answer
    x = 59,970.75

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.