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Finding the Fourth Proportional to 82,169.40, 123,035.40 and 52,426.20

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Solution

The fourth proportional to 82,169.40, 123,035.40 and 52,426.20 is: 78,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,169.40 : 123,035.40 = 52,426.20 : x
  2. Step 2: Convert to fraction form
    82,169.40/123,035.40 = 52,426.20/x
  3. Step 3: Cross multiply
    82,169.40x = 123,035.40 × 52,426.20
  4. Step 4: Simplify right side
    82,169.40x = 6,450,278,487.48
  5. Step 5: Solve for x
    x = 6,450,278,487.48/82,169.40
  6. Step 6: Final answer
    x = 78,499.76

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1.5x scale

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.