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Finding the Fourth Proportional to 137,872.30, 206,844.45 and 44,380.30

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Solution

The fourth proportional to 137,872.30, 206,844.45 and 44,380.30 is: 66,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,872.30 : 206,844.45 = 44,380.30 : x
  2. Step 2: Convert to fraction form
    137,872.30/206,844.45 = 44,380.30/x
  3. Step 3: Cross multiply
    137,872.30x = 206,844.45 × 44,380.30
  4. Step 4: Simplify right side
    137,872.30x = 9,179,818,744.34
  5. Step 5: Solve for x
    x = 9,179,818,744.34/137,872.30
  6. Step 6: Final answer
    x = 66,582.04

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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.