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Finding the Fourth Proportional to 123,912.88, 185,872.20 and 39,689.20

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Solution

The fourth proportional to 123,912.88, 185,872.20 and 39,689.20 is: 59,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,912.88 : 185,872.20 = 39,689.20 : x
  2. Step 2: Convert to fraction form
    123,912.88/185,872.20 = 39,689.20/x
  3. Step 3: Cross multiply
    123,912.88x = 185,872.20 × 39,689.20
  4. Step 4: Simplify right side
    123,912.88x = 7,377,118,920.24
  5. Step 5: Solve for x
    x = 7,377,118,920.24/123,912.88
  6. Step 6: Final answer
    x = 59,534.72

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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.