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Finding the Fourth Proportional to 103,470.93, 142,789.14 and 58,147.92

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Solution

The fourth proportional to 103,470.93, 142,789.14 and 58,147.92 is: 80,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,470.93 : 142,789.14 = 58,147.92 : x
  2. Step 2: Convert to fraction form
    103,470.93/142,789.14 = 58,147.92/x
  3. Step 3: Cross multiply
    103,470.93x = 142,789.14 × 58,147.92
  4. Step 4: Simplify right side
    103,470.93x = 8,302,891,489.59
  5. Step 5: Solve for x
    x = 8,302,891,489.59/103,470.93
  6. Step 6: Final answer
    x = 80,243.71

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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.