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Finding the Fourth Proportional to 199,691.31, 299,630.29 and 87,356.97

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Solution

The fourth proportional to 199,691.31, 299,630.29 and 87,356.97 is: 131,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,691.31 : 299,630.29 = 87,356.97 : x
  2. Step 2: Convert to fraction form
    199,691.31/299,630.29 = 87,356.97/x
  3. Step 3: Cross multiply
    199,691.31x = 299,630.29 × 87,356.97
  4. Step 4: Simplify right side
    199,691.31x = 26,174,794,254.62
  5. Step 5: Solve for x
    x = 26,174,794,254.62/199,691.31
  6. Step 6: Final answer
    x = 131,076.28

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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.