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Finding the Fourth Proportional to 132,387.51, 198,469.34 and 57,450.97

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Solution

The fourth proportional to 132,387.51, 198,469.34 and 57,450.97 is: 86,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,387.51 : 198,469.34 = 57,450.97 : x
  2. Step 2: Convert to fraction form
    132,387.51/198,469.34 = 57,450.97/x
  3. Step 3: Cross multiply
    132,387.51x = 198,469.34 × 57,450.97
  4. Step 4: Simplify right side
    132,387.51x = 11,402,256,274.53
  5. Step 5: Solve for x
    x = 11,402,256,274.53/132,387.51
  6. Step 6: Final answer
    x = 86,127.88

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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.