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Finding the Fourth Proportional to 82,381.40, 123,542.87 and 35,608.76

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Solution

The fourth proportional to 82,381.40, 123,542.87 and 35,608.76 is: 53,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,381.40 : 123,542.87 = 35,608.76 : x
  2. Step 2: Convert to fraction form
    82,381.40/123,542.87 = 35,608.76/x
  3. Step 3: Cross multiply
    82,381.40x = 123,542.87 × 35,608.76
  4. Step 4: Simplify right side
    82,381.40x = 4,399,207,611.78
  5. Step 5: Solve for x
    x = 4,399,207,611.78/82,381.40
  6. Step 6: Final answer
    x = 53,400.50

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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.