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Finding the Fourth Proportional to 71,724.33, 107,488.05 and 45,381.91

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Solution

The fourth proportional to 71,724.33, 107,488.05 and 45,381.91 is: 68,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724.33 : 107,488.05 = 45,381.91 : x
  2. Step 2: Convert to fraction form
    71,724.33/107,488.05 = 45,381.91/x
  3. Step 3: Cross multiply
    71,724.33x = 107,488.05 × 45,381.91
  4. Step 4: Simplify right side
    71,724.33x = 4,878,013,011.18
  5. Step 5: Solve for x
    x = 4,878,013,011.18/71,724.33
  6. Step 6: Final answer
    x = 68,010.58

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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.