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Finding the Fourth Proportional to 100,290.52, 138,321.19 and 85,233.02

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Solution

The fourth proportional to 100,290.52, 138,321.19 and 85,233.02 is: 117,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,290.52 : 138,321.19 = 85,233.02 : x
  2. Step 2: Convert to fraction form
    100,290.52/138,321.19 = 85,233.02/x
  3. Step 3: Cross multiply
    100,290.52x = 138,321.19 × 85,233.02
  4. Step 4: Simplify right side
    100,290.52x = 11,789,532,753.69
  5. Step 5: Solve for x
    x = 11,789,532,753.69/100,290.52
  6. Step 6: Final answer
    x = 117,553.81

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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.