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Finding the Fourth Proportional to 132,972.40, 199,359.40 and 80,370.80

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Solution

The fourth proportional to 132,972.40, 199,359.40 and 80,370.80 is: 120,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,972.40 : 199,359.40 = 80,370.80 : x
  2. Step 2: Convert to fraction form
    132,972.40/199,359.40 = 80,370.80/x
  3. Step 3: Cross multiply
    132,972.40x = 199,359.40 × 80,370.80
  4. Step 4: Simplify right side
    132,972.40x = 16,022,674,465.52
  5. Step 5: Solve for x
    x = 16,022,674,465.52/132,972.40
  6. Step 6: Final answer
    x = 120,496.24

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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.