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Finding the Fourth Proportional to 97,432, 134,456.16 and 52,720

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Solution

The fourth proportional to 97,432, 134,456.16 and 52,720 is: 72,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,432 : 134,456.16 = 52,720 : x
  2. Step 2: Convert to fraction form
    97,432/134,456.16 = 52,720/x
  3. Step 3: Cross multiply
    97,432x = 134,456.16 × 52,720
  4. Step 4: Simplify right side
    97,432x = 7,088,528,755.20
  5. Step 5: Solve for x
    x = 7,088,528,755.20/97,432
  6. Step 6: Final answer
    x = 72,753.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.