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Finding the Fourth Proportional to 137,843.40, 206,770.37 and 43,082.31

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Solution

The fourth proportional to 137,843.40, 206,770.37 and 43,082.31 is: 64,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,843.40 : 206,770.37 = 43,082.31 : x
  2. Step 2: Convert to fraction form
    137,843.40/206,770.37 = 43,082.31/x
  3. Step 3: Cross multiply
    137,843.40x = 206,770.37 × 43,082.31
  4. Step 4: Simplify right side
    137,843.40x = 8,908,144,963.74
  5. Step 5: Solve for x
    x = 8,908,144,963.74/137,843.40
  6. Step 6: Final answer
    x = 64,625.11

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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.