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Finding the Fourth Proportional to 199,182.70, 298,827.24 and 86,871.97

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Solution

The fourth proportional to 199,182.70, 298,827.24 and 86,871.97 is: 130,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,182.70 : 298,827.24 = 86,871.97 : x
  2. Step 2: Convert to fraction form
    199,182.70/298,827.24 = 86,871.97/x
  3. Step 3: Cross multiply
    199,182.70x = 298,827.24 × 86,871.97
  4. Step 4: Simplify right side
    199,182.70x = 25,959,711,028.46
  5. Step 5: Solve for x
    x = 25,959,711,028.46/199,182.70
  6. Step 6: Final answer
    x = 130,331.15

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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.