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Finding the Fourth Proportional to 132,280, 198,448.74 and 43,542.52

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Solution

The fourth proportional to 132,280, 198,448.74 and 43,542.52 is: 65,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,280 : 198,448.74 = 43,542.52 : x
  2. Step 2: Convert to fraction form
    132,280/198,448.74 = 43,542.52/x
  3. Step 3: Cross multiply
    132,280x = 198,448.74 × 43,542.52
  4. Step 4: Simplify right side
    132,280x = 8,640,958,230.42
  5. Step 5: Solve for x
    x = 8,640,958,230.42/132,280
  6. Step 6: Final answer
    x = 65,323.24

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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.