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Finding the Fourth Proportional to 157,341.92, 217,131.87 and 85,721.94

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Solution

The fourth proportional to 157,341.92, 217,131.87 and 85,721.94 is: 118,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,341.92 : 217,131.87 = 85,721.94 : x
  2. Step 2: Convert to fraction form
    157,341.92/217,131.87 = 85,721.94/x
  3. Step 3: Cross multiply
    157,341.92x = 217,131.87 × 85,721.94
  4. Step 4: Simplify right side
    157,341.92x = 18,612,966,010.64
  5. Step 5: Solve for x
    x = 18,612,966,010.64/157,341.92
  6. Step 6: Final answer
    x = 118,296.29

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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.