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Finding the Fourth Proportional to 82,065.76, 123,120.80 and 25,908.16

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Solution

The fourth proportional to 82,065.76, 123,120.80 and 25,908.16 is: 38,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065.76 : 123,120.80 = 25,908.16 : x
  2. Step 2: Convert to fraction form
    82,065.76/123,120.80 = 25,908.16/x
  3. Step 3: Cross multiply
    82,065.76x = 123,120.80 × 25,908.16
  4. Step 4: Simplify right side
    82,065.76x = 3,189,833,385.73
  5. Step 5: Solve for x
    x = 3,189,833,385.73/82,065.76
  6. Step 6: Final answer
    x = 38,869.24

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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.