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Finding the Fourth Proportional to 72,402.32, 108,593.40 and 19,816.40

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Solution

The fourth proportional to 72,402.32, 108,593.40 and 19,816.40 is: 29,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,402.32 : 108,593.40 = 19,816.40 : x
  2. Step 2: Convert to fraction form
    72,402.32/108,593.40 = 19,816.40/x
  3. Step 3: Cross multiply
    72,402.32x = 108,593.40 × 19,816.40
  4. Step 4: Simplify right side
    72,402.32x = 2,151,930,251.76
  5. Step 5: Solve for x
    x = 2,151,930,251.76/72,402.32
  6. Step 6: Final answer
    x = 29,721.84

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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.