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Finding the Fourth Proportional to 137,892.92, 206,736.84 and 57,954.35

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Solution

The fourth proportional to 137,892.92, 206,736.84 and 57,954.35 is: 86,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,892.92 : 206,736.84 = 57,954.35 : x
  2. Step 2: Convert to fraction form
    137,892.92/206,736.84 = 57,954.35/x
  3. Step 3: Cross multiply
    137,892.92x = 206,736.84 × 57,954.35
  4. Step 4: Simplify right side
    137,892.92x = 11,981,299,700.10
  5. Step 5: Solve for x
    x = 11,981,299,700.10/137,892.92
  6. Step 6: Final answer
    x = 86,888.44

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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.