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Finding the Fourth Proportional to 137,930.58, 206,929.08 and 47,960.28

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Solution

The fourth proportional to 137,930.58, 206,929.08 and 47,960.28 is: 71,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,930.58 : 206,929.08 = 47,960.28 : x
  2. Step 2: Convert to fraction form
    137,930.58/206,929.08 = 47,960.28/x
  3. Step 3: Cross multiply
    137,930.58x = 206,929.08 × 47,960.28
  4. Step 4: Simplify right side
    137,930.58x = 9,924,376,616.94
  5. Step 5: Solve for x
    x = 9,924,376,616.94/137,930.58
  6. Step 6: Final answer
    x = 71,951.97

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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.