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Finding the Fourth Proportional to 198,714.68, 298,101.66 and 65,609

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Solution

The fourth proportional to 198,714.68, 298,101.66 and 65,609 is: 98,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,714.68 : 298,101.66 = 65,609 : x
  2. Step 2: Convert to fraction form
    198,714.68/298,101.66 = 65,609/x
  3. Step 3: Cross multiply
    198,714.68x = 298,101.66 × 65,609
  4. Step 4: Simplify right side
    198,714.68x = 19,558,151,810.94
  5. Step 5: Solve for x
    x = 19,558,151,810.94/198,714.68
  6. Step 6: Final answer
    x = 98,423.29

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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.