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Finding the Fourth Proportional to 156,772.73, 216,348 and 85,154.15

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Solution

The fourth proportional to 156,772.73, 216,348 and 85,154.15 is: 117,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,772.73 : 216,348 = 85,154.15 : x
  2. Step 2: Convert to fraction form
    156,772.73/216,348 = 85,154.15/x
  3. Step 3: Cross multiply
    156,772.73x = 216,348 × 85,154.15
  4. Step 4: Simplify right side
    156,772.73x = 18,422,930,044.20
  5. Step 5: Solve for x
    x = 18,422,930,044.20/156,772.73
  6. Step 6: Final answer
    x = 117,513.61

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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.