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Finding the Fourth Proportional to 137,849.70, 206,774.55 and 54,743.70

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Solution

The fourth proportional to 137,849.70, 206,774.55 and 54,743.70 is: 82,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,849.70 : 206,774.55 = 54,743.70 : x
  2. Step 2: Convert to fraction form
    137,849.70/206,774.55 = 54,743.70/x
  3. Step 3: Cross multiply
    137,849.70x = 206,774.55 × 54,743.70
  4. Step 4: Simplify right side
    137,849.70x = 11,319,603,932.84
  5. Step 5: Solve for x
    x = 11,319,603,932.84/137,849.70
  6. Step 6: Final answer
    x = 82,115.55

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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.