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Finding the Fourth Proportional to 137,742, 206,647.68 and 39,246

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Solution

The fourth proportional to 137,742, 206,647.68 and 39,246 is: 58,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,742 : 206,647.68 = 39,246 : x
  2. Step 2: Convert to fraction form
    137,742/206,647.68 = 39,246/x
  3. Step 3: Cross multiply
    137,742x = 206,647.68 × 39,246
  4. Step 4: Simplify right side
    137,742x = 8,110,094,849.28
  5. Step 5: Solve for x
    x = 8,110,094,849.28/137,742
  6. Step 6: Final answer
    x = 58,878.88

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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.