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Finding the Fourth Proportional to 137,892.76, 206,788.06 and 49,122.68

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Solution

The fourth proportional to 137,892.76, 206,788.06 and 49,122.68 is: 73,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,892.76 : 206,788.06 = 49,122.68 : x
  2. Step 2: Convert to fraction form
    137,892.76/206,788.06 = 49,122.68/x
  3. Step 3: Cross multiply
    137,892.76x = 206,788.06 × 49,122.68
  4. Step 4: Simplify right side
    137,892.76x = 10,157,983,699.20
  5. Step 5: Solve for x
    x = 10,157,983,699.20/137,892.76
  6. Step 6: Final answer
    x = 73,665.82

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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.