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Finding the Fourth Proportional to 198,084.64, 297,214.08 and 79,986.64

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Solution

The fourth proportional to 198,084.64, 297,214.08 and 79,986.64 is: 120,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,084.64 : 297,214.08 = 79,986.64 : x
  2. Step 2: Convert to fraction form
    198,084.64/297,214.08 = 79,986.64/x
  3. Step 3: Cross multiply
    198,084.64x = 297,214.08 × 79,986.64
  4. Step 4: Simplify right side
    198,084.64x = 23,773,155,619.89
  5. Step 5: Solve for x
    x = 23,773,155,619.89/198,084.64
  6. Step 6: Final answer
    x = 120,015.14

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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.