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Finding the Fourth Proportional to 86,481.86, 129,736.14 and 36,562.12

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Solution

The fourth proportional to 86,481.86, 129,736.14 and 36,562.12 is: 54,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,481.86 : 129,736.14 = 36,562.12 : x
  2. Step 2: Convert to fraction form
    86,481.86/129,736.14 = 36,562.12/x
  3. Step 3: Cross multiply
    86,481.86x = 129,736.14 × 36,562.12
  4. Step 4: Simplify right side
    86,481.86x = 4,743,428,319.02
  5. Step 5: Solve for x
    x = 4,743,428,319.02/86,481.86
  6. Step 6: Final answer
    x = 54,848.82

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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.