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Finding the Fourth Proportional to 86,479.86, 129,733.14 and 36,560.12

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Solution

The fourth proportional to 86,479.86, 129,733.14 and 36,560.12 is: 54,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,479.86 : 129,733.14 = 36,560.12 : x
  2. Step 2: Convert to fraction form
    86,479.86/129,733.14 = 36,560.12/x
  3. Step 3: Cross multiply
    86,479.86x = 129,733.14 × 36,560.12
  4. Step 4: Simplify right side
    86,479.86x = 4,743,059,166.38
  5. Step 5: Solve for x
    x = 4,743,059,166.38/86,479.86
  6. Step 6: Final answer
    x = 54,845.82

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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.