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Finding the Fourth Proportional to 82,482.30, 123,738.84 and 38,079.72

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Solution

The fourth proportional to 82,482.30, 123,738.84 and 38,079.72 is: 57,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,482.30 : 123,738.84 = 38,079.72 : x
  2. Step 2: Convert to fraction form
    82,482.30/123,738.84 = 38,079.72/x
  3. Step 3: Cross multiply
    82,482.30x = 123,738.84 × 38,079.72
  4. Step 4: Simplify right side
    82,482.30x = 4,711,940,380.32
  5. Step 5: Solve for x
    x = 4,711,940,380.32/82,482.30
  6. Step 6: Final answer
    x = 57,126.69

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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.