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Finding the Fourth Proportional to 144,174.52, 215,971.80 and 71,909.56

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Solution

The fourth proportional to 144,174.52, 215,971.80 and 71,909.56 is: 107,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,174.52 : 215,971.80 = 71,909.56 : x
  2. Step 2: Convert to fraction form
    144,174.52/215,971.80 = 71,909.56/x
  3. Step 3: Cross multiply
    144,174.52x = 215,971.80 × 71,909.56
  4. Step 4: Simplify right side
    144,174.52x = 15,530,437,110.41
  5. Step 5: Solve for x
    x = 15,530,437,110.41/144,174.52
  6. Step 6: Final answer
    x = 107,719.71

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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.