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Finding the Fourth Proportional to 132,406.40, 198,998.40 and 115,299.20

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Solution

The fourth proportional to 132,406.40, 198,998.40 and 115,299.20 is: 173,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,406.40 : 198,998.40 = 115,299.20 : x
  2. Step 2: Convert to fraction form
    132,406.40/198,998.40 = 115,299.20/x
  3. Step 3: Cross multiply
    132,406.40x = 198,998.40 × 115,299.20
  4. Step 4: Simplify right side
    132,406.40x = 22,944,356,321.28
  5. Step 5: Solve for x
    x = 22,944,356,321.28/132,406.40
  6. Step 6: Final answer
    x = 173,287.37

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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.