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Finding the Fourth Proportional to 198,952.20, 298,372.71 and 78,955.16

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Solution

The fourth proportional to 198,952.20, 298,372.71 and 78,955.16 is: 118,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,952.20 : 298,372.71 = 78,955.16 : x
  2. Step 2: Convert to fraction form
    198,952.20/298,372.71 = 78,955.16/x
  3. Step 3: Cross multiply
    198,952.20x = 298,372.71 × 78,955.16
  4. Step 4: Simplify right side
    198,952.20x = 23,558,063,171.04
  5. Step 5: Solve for x
    x = 23,558,063,171.04/198,952.20
  6. Step 6: Final answer
    x = 118,410.67

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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.