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Finding the Fourth Proportional to 157,138.96, 216,874.10 and 89,172.68

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Solution

The fourth proportional to 157,138.96, 216,874.10 and 89,172.68 is: 123,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,138.96 : 216,874.10 = 89,172.68 : x
  2. Step 2: Convert to fraction form
    157,138.96/216,874.10 = 89,172.68/x
  3. Step 3: Cross multiply
    157,138.96x = 216,874.10 × 89,172.68
  4. Step 4: Simplify right side
    157,138.96x = 19,339,244,719.59
  5. Step 5: Solve for x
    x = 19,339,244,719.59/157,138.96
  6. Step 6: Final answer
    x = 123,070.97

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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.