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Finding the Fourth Proportional to 198,714.43, 298,008.42 and 65,569.87

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Solution

The fourth proportional to 198,714.43, 298,008.42 and 65,569.87 is: 98,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,714.43 : 298,008.42 = 65,569.87 : x
  2. Step 2: Convert to fraction form
    198,714.43/298,008.42 = 65,569.87/x
  3. Step 3: Cross multiply
    198,714.43x = 298,008.42 × 65,569.87
  4. Step 4: Simplify right side
    198,714.43x = 19,540,373,358.31
  5. Step 5: Solve for x
    x = 19,540,373,358.31/198,714.43
  6. Step 6: Final answer
    x = 98,333.94

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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.