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Finding the Fourth Proportional to 199,585.64, 299,377.92 and 81,229

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Solution

The fourth proportional to 199,585.64, 299,377.92 and 81,229 is: 121,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,585.64 : 299,377.92 = 81,229 : x
  2. Step 2: Convert to fraction form
    199,585.64/299,377.92 = 81,229/x
  3. Step 3: Cross multiply
    199,585.64x = 299,377.92 × 81,229
  4. Step 4: Simplify right side
    199,585.64x = 24,318,169,063.68
  5. Step 5: Solve for x
    x = 24,318,169,063.68/199,585.64
  6. Step 6: Final answer
    x = 121,843.28

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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.