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Finding the Fourth Proportional to 198,490.68, 297,735.56 and 86,156.33

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Solution

The fourth proportional to 198,490.68, 297,735.56 and 86,156.33 is: 129,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,490.68 : 297,735.56 = 86,156.33 : x
  2. Step 2: Convert to fraction form
    198,490.68/297,735.56 = 86,156.33/x
  3. Step 3: Cross multiply
    198,490.68x = 297,735.56 × 86,156.33
  4. Step 4: Simplify right side
    198,490.68x = 25,651,803,160.09
  5. Step 5: Solve for x
    x = 25,651,803,160.09/198,490.68
  6. Step 6: Final answer
    x = 129,234.30

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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.