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Finding the Fourth Proportional to 132,306.40, 198,481.44 and 61,300

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Solution

The fourth proportional to 132,306.40, 198,481.44 and 61,300 is: 91,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,306.40 : 198,481.44 = 61,300 : x
  2. Step 2: Convert to fraction form
    132,306.40/198,481.44 = 61,300/x
  3. Step 3: Cross multiply
    132,306.40x = 198,481.44 × 61,300
  4. Step 4: Simplify right side
    132,306.40x = 12,166,912,272
  5. Step 5: Solve for x
    x = 12,166,912,272/132,306.40
  6. Step 6: Final answer
    x = 91,960.12

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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.