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Finding the Fourth Proportional to 157,884.52, 217,874.16 and 86,267

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Solution

The fourth proportional to 157,884.52, 217,874.16 and 86,267 is: 119,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,884.52 : 217,874.16 = 86,267 : x
  2. Step 2: Convert to fraction form
    157,884.52/217,874.16 = 86,267/x
  3. Step 3: Cross multiply
    157,884.52x = 217,874.16 × 86,267
  4. Step 4: Simplify right side
    157,884.52x = 18,795,350,160.72
  5. Step 5: Solve for x
    x = 18,795,350,160.72/157,884.52
  6. Step 6: Final answer
    x = 119,044.92

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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.