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Finding the Fourth Proportional to 72,691.52, 109,014.24 and 23,432

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Solution

The fourth proportional to 72,691.52, 109,014.24 and 23,432 is: 35,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,691.52 : 109,014.24 = 23,432 : x
  2. Step 2: Convert to fraction form
    72,691.52/109,014.24 = 23,432/x
  3. Step 3: Cross multiply
    72,691.52x = 109,014.24 × 23,432
  4. Step 4: Simplify right side
    72,691.52x = 2,554,421,671.68
  5. Step 5: Solve for x
    x = 2,554,421,671.68/72,691.52
  6. Step 6: Final answer
    x = 35,140.57

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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.