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Finding the Fourth Proportional to 207,174.40, 310,761.60 and 82,451.20

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Solution

The fourth proportional to 207,174.40, 310,761.60 and 82,451.20 is: 123,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,174.40 : 310,761.60 = 82,451.20 : x
  2. Step 2: Convert to fraction form
    207,174.40/310,761.60 = 82,451.20/x
  3. Step 3: Cross multiply
    207,174.40x = 310,761.60 × 82,451.20
  4. Step 4: Simplify right side
    207,174.40x = 25,622,666,833.92
  5. Step 5: Solve for x
    x = 25,622,666,833.92/207,174.40
  6. Step 6: Final answer
    x = 123,676.80

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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.