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Finding the Fourth Proportional to 137,874.72, 206,774.28 and 38,011.44

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Solution

The fourth proportional to 137,874.72, 206,774.28 and 38,011.44 is: 57,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,874.72 : 206,774.28 = 38,011.44 : x
  2. Step 2: Convert to fraction form
    137,874.72/206,774.28 = 38,011.44/x
  3. Step 3: Cross multiply
    137,874.72x = 206,774.28 × 38,011.44
  4. Step 4: Simplify right side
    137,874.72x = 7,859,788,137.76
  5. Step 5: Solve for x
    x = 7,859,788,137.76/137,874.72
  6. Step 6: Final answer
    x = 57,006.74

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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.