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Finding the Fourth Proportional to 82,250.40, 123,375.60 and 80,938.20

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Solution

The fourth proportional to 82,250.40, 123,375.60 and 80,938.20 is: 121,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,250.40 : 123,375.60 = 80,938.20 : x
  2. Step 2: Convert to fraction form
    82,250.40/123,375.60 = 80,938.20/x
  3. Step 3: Cross multiply
    82,250.40x = 123,375.60 × 80,938.20
  4. Step 4: Simplify right side
    82,250.40x = 9,985,798,987.92
  5. Step 5: Solve for x
    x = 9,985,798,987.92/82,250.40
  6. Step 6: Final answer
    x = 121,407.30

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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.