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Finding the Fourth Proportional to 138,044.42, 206,935.42 and 87,984

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Solution

The fourth proportional to 138,044.42, 206,935.42 and 87,984 is: 131,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,044.42 : 206,935.42 = 87,984 : x
  2. Step 2: Convert to fraction form
    138,044.42/206,935.42 = 87,984/x
  3. Step 3: Cross multiply
    138,044.42x = 206,935.42 × 87,984
  4. Step 4: Simplify right side
    138,044.42x = 18,207,005,993.28
  5. Step 5: Solve for x
    x = 18,207,005,993.28/138,044.42
  6. Step 6: Final answer
    x = 131,892.37

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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.