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Finding the Fourth Proportional to 157,649.92, 217,561.48 and 86,034.54

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Solution

The fourth proportional to 157,649.92, 217,561.48 and 86,034.54 is: 118,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,649.92 : 217,561.48 = 86,034.54 : x
  2. Step 2: Convert to fraction form
    157,649.92/217,561.48 = 86,034.54/x
  3. Step 3: Cross multiply
    157,649.92x = 217,561.48 × 86,034.54
  4. Step 4: Simplify right side
    157,649.92x = 18,717,801,853.52
  5. Step 5: Solve for x
    x = 18,717,801,853.52/157,649.92
  6. Step 6: Final answer
    x = 118,730.17

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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.