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Finding the Fourth Proportional to 142,502.80, 213,646.20 and 72,432.40

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Solution

The fourth proportional to 142,502.80, 213,646.20 and 72,432.40 is: 108,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,502.80 : 213,646.20 = 72,432.40 : x
  2. Step 2: Convert to fraction form
    142,502.80/213,646.20 = 72,432.40/x
  3. Step 3: Cross multiply
    142,502.80x = 213,646.20 × 72,432.40
  4. Step 4: Simplify right side
    142,502.80x = 15,474,907,016.88
  5. Step 5: Solve for x
    x = 15,474,907,016.88/142,502.80
  6. Step 6: Final answer
    x = 108,593.70

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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.