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Finding the Fourth Proportional to 132,473.88, 198,710.82 and 77,031

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Solution

The fourth proportional to 132,473.88, 198,710.82 and 77,031 is: 115,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,473.88 : 198,710.82 = 77,031 : x
  2. Step 2: Convert to fraction form
    132,473.88/198,710.82 = 77,031/x
  3. Step 3: Cross multiply
    132,473.88x = 198,710.82 × 77,031
  4. Step 4: Simplify right side
    132,473.88x = 15,306,893,175.42
  5. Step 5: Solve for x
    x = 15,306,893,175.42/132,473.88
  6. Step 6: Final answer
    x = 115,546.50

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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.