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Finding the Fourth Proportional to 86,202.70, 129,304.19 and 27,042.91

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Solution

The fourth proportional to 86,202.70, 129,304.19 and 27,042.91 is: 40,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,202.70 : 129,304.19 = 27,042.91 : x
  2. Step 2: Convert to fraction form
    86,202.70/129,304.19 = 27,042.91/x
  3. Step 3: Cross multiply
    86,202.70x = 129,304.19 × 27,042.91
  4. Step 4: Simplify right side
    86,202.70x = 3,496,761,572.79
  5. Step 5: Solve for x
    x = 3,496,761,572.79/86,202.70
  6. Step 6: Final answer
    x = 40,564.41

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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.