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Finding the Fourth Proportional to 132,648.56, 198,972.88 and 39,147.04

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Solution

The fourth proportional to 132,648.56, 198,972.88 and 39,147.04 is: 58,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,648.56 : 198,972.88 = 39,147.04 : x
  2. Step 2: Convert to fraction form
    132,648.56/198,972.88 = 39,147.04/x
  3. Step 3: Cross multiply
    132,648.56x = 198,972.88 × 39,147.04
  4. Step 4: Simplify right side
    132,648.56x = 7,789,199,292.28
  5. Step 5: Solve for x
    x = 7,789,199,292.28/132,648.56
  6. Step 6: Final answer
    x = 58,720.57

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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.