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Finding the Fourth Proportional to 198,409.60, 273,655.20 and 137,949.98

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Solution

The fourth proportional to 198,409.60, 273,655.20 and 137,949.98 is: 190,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,409.60 : 273,655.20 = 137,949.98 : x
  2. Step 2: Convert to fraction form
    198,409.60/273,655.20 = 137,949.98/x
  3. Step 3: Cross multiply
    198,409.60x = 273,655.20 × 137,949.98
  4. Step 4: Simplify right side
    198,409.60x = 37,750,729,366.90
  5. Step 5: Solve for x
    x = 37,750,729,366.90/198,409.60
  6. Step 6: Final answer
    x = 190,266.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.