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Finding the Fourth Proportional to 198,780.36, 298,002 and 86,376

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Solution

The fourth proportional to 198,780.36, 298,002 and 86,376 is: 129,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,780.36 : 298,002 = 86,376 : x
  2. Step 2: Convert to fraction form
    198,780.36/298,002 = 86,376/x
  3. Step 3: Cross multiply
    198,780.36x = 298,002 × 86,376
  4. Step 4: Simplify right side
    198,780.36x = 25,740,220,752
  5. Step 5: Solve for x
    x = 25,740,220,752/198,780.36
  6. Step 6: Final answer
    x = 129,490.76

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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.