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Finding the Fourth Proportional to 132,431.80, 198,494.10 and 53,494.20

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Solution

The fourth proportional to 132,431.80, 198,494.10 and 53,494.20 is: 80,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,431.80 : 198,494.10 = 53,494.20 : x
  2. Step 2: Convert to fraction form
    132,431.80/198,494.10 = 53,494.20/x
  3. Step 3: Cross multiply
    132,431.80x = 198,494.10 × 53,494.20
  4. Step 4: Simplify right side
    132,431.80x = 10,618,283,084.22
  5. Step 5: Solve for x
    x = 10,618,283,084.22/132,431.80
  6. Step 6: Final answer
    x = 80,179.26

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1.5x scale

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.