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Finding the Fourth Proportional to 157,649.92, 217,561.47 and 86,034.53

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Solution

The fourth proportional to 157,649.92, 217,561.47 and 86,034.53 is: 118,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,649.92 : 217,561.47 = 86,034.53 : x
  2. Step 2: Convert to fraction form
    157,649.92/217,561.47 = 86,034.53/x
  3. Step 3: Cross multiply
    157,649.92x = 217,561.47 × 86,034.53
  4. Step 4: Simplify right side
    157,649.92x = 18,717,798,817.56
  5. Step 5: Solve for x
    x = 18,717,798,817.56/157,649.92
  6. Step 6: Final answer
    x = 118,730.15

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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.