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Finding the Fourth Proportional to 83,678.57, 115,473.20 and 47,871.89

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Solution

The fourth proportional to 83,678.57, 115,473.20 and 47,871.89 is: 66,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,678.57 : 115,473.20 = 47,871.89 : x
  2. Step 2: Convert to fraction form
    83,678.57/115,473.20 = 47,871.89/x
  3. Step 3: Cross multiply
    83,678.57x = 115,473.20 × 47,871.89
  4. Step 4: Simplify right side
    83,678.57x = 5,527,919,511.62
  5. Step 5: Solve for x
    x = 5,527,919,511.62/83,678.57
  6. Step 6: Final answer
    x = 66,061.36

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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.