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Finding the Fourth Proportional to 198,419.64, 297,825.48 and 103,743.60

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Solution

The fourth proportional to 198,419.64, 297,825.48 and 103,743.60 is: 155,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,419.64 : 297,825.48 = 103,743.60 : x
  2. Step 2: Convert to fraction form
    198,419.64/297,825.48 = 103,743.60/x
  3. Step 3: Cross multiply
    198,419.64x = 297,825.48 × 103,743.60
  4. Step 4: Simplify right side
    198,419.64x = 30,897,487,466.93
  5. Step 5: Solve for x
    x = 30,897,487,466.93/198,419.64
  6. Step 6: Final answer
    x = 155,717.89

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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.