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Finding the Fourth Proportional to 198,542.40, 298,159.20 and 105,230.40

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Solution

The fourth proportional to 198,542.40, 298,159.20 and 105,230.40 is: 158,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,542.40 : 298,159.20 = 105,230.40 : x
  2. Step 2: Convert to fraction form
    198,542.40/298,159.20 = 105,230.40/x
  3. Step 3: Cross multiply
    198,542.40x = 298,159.20 × 105,230.40
  4. Step 4: Simplify right side
    198,542.40x = 31,375,411,879.68
  5. Step 5: Solve for x
    x = 31,375,411,879.68/198,542.40
  6. Step 6: Final answer
    x = 158,028.77

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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.