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Finding the Fourth Proportional to 198,657.60, 297,979.75 and 86,337.82

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Solution

The fourth proportional to 198,657.60, 297,979.75 and 86,337.82 is: 129,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,657.60 : 297,979.75 = 86,337.82 : x
  2. Step 2: Convert to fraction form
    198,657.60/297,979.75 = 86,337.82/x
  3. Step 3: Cross multiply
    198,657.60x = 297,979.75 × 86,337.82
  4. Step 4: Simplify right side
    198,657.60x = 25,726,922,019.15
  5. Step 5: Solve for x
    x = 25,726,922,019.15/198,657.60
  6. Step 6: Final answer
    x = 129,503.84

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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.