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Finding the Fourth Proportional to 105,229.68, 157,789.08 and 71,959.20

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Solution

The fourth proportional to 105,229.68, 157,789.08 and 71,959.20 is: 107,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,229.68 : 157,789.08 = 71,959.20 : x
  2. Step 2: Convert to fraction form
    105,229.68/157,789.08 = 71,959.20/x
  3. Step 3: Cross multiply
    105,229.68x = 157,789.08 × 71,959.20
  4. Step 4: Simplify right side
    105,229.68x = 11,354,375,965.54
  5. Step 5: Solve for x
    x = 11,354,375,965.54/105,229.68
  6. Step 6: Final answer
    x = 107,900.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.