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Finding the Fourth Proportional to 198,785.60, 298,178.40 and 74,110.40

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Solution

The fourth proportional to 198,785.60, 298,178.40 and 74,110.40 is: 111,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,785.60 : 298,178.40 = 74,110.40 : x
  2. Step 2: Convert to fraction form
    198,785.60/298,178.40 = 74,110.40/x
  3. Step 3: Cross multiply
    198,785.60x = 298,178.40 × 74,110.40
  4. Step 4: Simplify right side
    198,785.60x = 22,098,120,495.36
  5. Step 5: Solve for x
    x = 22,098,120,495.36/198,785.60
  6. Step 6: Final answer
    x = 111,165.60

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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.