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Finding the Fourth Proportional to 82,103.80, 123,155.70 and 78,823.30

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Solution

The fourth proportional to 82,103.80, 123,155.70 and 78,823.30 is: 118,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,103.80 : 123,155.70 = 78,823.30 : x
  2. Step 2: Convert to fraction form
    82,103.80/123,155.70 = 78,823.30/x
  3. Step 3: Cross multiply
    82,103.80x = 123,155.70 × 78,823.30
  4. Step 4: Simplify right side
    82,103.80x = 9,707,538,687.81
  5. Step 5: Solve for x
    x = 9,707,538,687.81/82,103.80
  6. Step 6: Final answer
    x = 118,234.95

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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.