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Finding the Fourth Proportional to 86,342.69, 129,531.56 and 36,422.96

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Solution

The fourth proportional to 86,342.69, 129,531.56 and 36,422.96 is: 54,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,342.69 : 129,531.56 = 36,422.96 : x
  2. Step 2: Convert to fraction form
    86,342.69/129,531.56 = 36,422.96/x
  3. Step 3: Cross multiply
    86,342.69x = 129,531.56 × 36,422.96
  4. Step 4: Simplify right side
    86,342.69x = 4,717,921,998.85
  5. Step 5: Solve for x
    x = 4,717,921,998.85/86,342.69
  6. Step 6: Final answer
    x = 54,641.82

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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.