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Finding the Fourth Proportional to 102,095.84, 153,143.76 and 31,980.64

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Solution

The fourth proportional to 102,095.84, 153,143.76 and 31,980.64 is: 47,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,095.84 : 153,143.76 = 31,980.64 : x
  2. Step 2: Convert to fraction form
    102,095.84/153,143.76 = 31,980.64/x
  3. Step 3: Cross multiply
    102,095.84x = 153,143.76 × 31,980.64
  4. Step 4: Simplify right side
    102,095.84x = 4,897,635,456.81
  5. Step 5: Solve for x
    x = 4,897,635,456.81/102,095.84
  6. Step 6: Final answer
    x = 47,970.96

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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.