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Finding the Fourth Proportional to 198,568.35, 297,905.33 and 86,200.35

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Solution

The fourth proportional to 198,568.35, 297,905.33 and 86,200.35 is: 129,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,568.35 : 297,905.33 = 86,200.35 : x
  2. Step 2: Convert to fraction form
    198,568.35/297,905.33 = 86,200.35/x
  3. Step 3: Cross multiply
    198,568.35x = 297,905.33 × 86,200.35
  4. Step 4: Simplify right side
    198,568.35x = 25,679,543,281.86
  5. Step 5: Solve for x
    x = 25,679,543,281.86/198,568.35
  6. Step 6: Final answer
    x = 129,323.45

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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.