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Finding the Fourth Proportional to 102,099.88, 153,149.82 and 46,657

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Solution

The fourth proportional to 102,099.88, 153,149.82 and 46,657 is: 69,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099.88 : 153,149.82 = 46,657 : x
  2. Step 2: Convert to fraction form
    102,099.88/153,149.82 = 46,657/x
  3. Step 3: Cross multiply
    102,099.88x = 153,149.82 × 46,657
  4. Step 4: Simplify right side
    102,099.88x = 7,145,511,151.74
  5. Step 5: Solve for x
    x = 7,145,511,151.74/102,099.88
  6. Step 6: Final answer
    x = 69,985.50

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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.