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Finding the Fourth Proportional to 71,909.91, 107,864.80 and 19,319.39

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Solution

The fourth proportional to 71,909.91, 107,864.80 and 19,319.39 is: 28,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,909.91 : 107,864.80 = 19,319.39 : x
  2. Step 2: Convert to fraction form
    71,909.91/107,864.80 = 19,319.39/x
  3. Step 3: Cross multiply
    71,909.91x = 107,864.80 × 19,319.39
  4. Step 4: Simplify right side
    71,909.91x = 2,083,882,562.08
  5. Step 5: Solve for x
    x = 2,083,882,562.08/71,909.91
  6. Step 6: Final answer
    x = 28,979.07

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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.