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Finding the Fourth Proportional to 82,105.80, 123,158.70 and 78,825.30

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Solution

The fourth proportional to 82,105.80, 123,158.70 and 78,825.30 is: 118,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,105.80 : 123,158.70 = 78,825.30 : x
  2. Step 2: Convert to fraction form
    82,105.80/123,158.70 = 78,825.30/x
  3. Step 3: Cross multiply
    82,105.80x = 123,158.70 × 78,825.30
  4. Step 4: Simplify right side
    82,105.80x = 9,708,021,475.11
  5. Step 5: Solve for x
    x = 9,708,021,475.11/82,105.80
  6. Step 6: Final answer
    x = 118,237.95

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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.