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Finding the Fourth Proportional to 137,908.60, 206,965.30 and 54,862.20

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Solution

The fourth proportional to 137,908.60, 206,965.30 and 54,862.20 is: 82,334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,908.60 : 206,965.30 = 54,862.20 : x
  2. Step 2: Convert to fraction form
    137,908.60/206,965.30 = 54,862.20/x
  3. Step 3: Cross multiply
    137,908.60x = 206,965.30 × 54,862.20
  4. Step 4: Simplify right side
    137,908.60x = 11,354,571,681.66
  5. Step 5: Solve for x
    x = 11,354,571,681.66/137,908.60
  6. Step 6: Final answer
    x = 82,334.04

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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.