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Finding the Fourth Proportional to 132,190.38, 182,422.31 and 71,760.60

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Solution

The fourth proportional to 132,190.38, 182,422.31 and 71,760.60 is: 99,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,190.38 : 182,422.31 = 71,760.60 : x
  2. Step 2: Convert to fraction form
    132,190.38/182,422.31 = 71,760.60/x
  3. Step 3: Cross multiply
    132,190.38x = 182,422.31 × 71,760.60
  4. Step 4: Simplify right side
    132,190.38x = 13,090,734,060.18
  5. Step 5: Solve for x
    x = 13,090,734,060.18/132,190.38
  6. Step 6: Final answer
    x = 99,029.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.