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Finding the Fourth Proportional to 86,382.86, 129,591.90 and 48,959.64

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Solution

The fourth proportional to 86,382.86, 129,591.90 and 48,959.64 is: 73,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,382.86 : 129,591.90 = 48,959.64 : x
  2. Step 2: Convert to fraction form
    86,382.86/129,591.90 = 48,959.64/x
  3. Step 3: Cross multiply
    86,382.86x = 129,591.90 × 48,959.64
  4. Step 4: Simplify right side
    86,382.86x = 6,344,772,770.92
  5. Step 5: Solve for x
    x = 6,344,772,770.92/86,382.86
  6. Step 6: Final answer
    x = 73,449.45

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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.