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Finding the Fourth Proportional to 198,420.64, 297,826.98 and 103,744.60

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Solution

The fourth proportional to 198,420.64, 297,826.98 and 103,744.60 is: 155,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,420.64 : 297,826.98 = 103,744.60 : x
  2. Step 2: Convert to fraction form
    198,420.64/297,826.98 = 103,744.60/x
  3. Step 3: Cross multiply
    198,420.64x = 297,826.98 × 103,744.60
  4. Step 4: Simplify right side
    198,420.64x = 30,897,940,909.31
  5. Step 5: Solve for x
    x = 30,897,940,909.31/198,420.64
  6. Step 6: Final answer
    x = 155,719.39

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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.