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Finding the Fourth Proportional to 129,770.40, 194,655.60 and 100,245.90

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Solution

The fourth proportional to 129,770.40, 194,655.60 and 100,245.90 is: 150,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,770.40 : 194,655.60 = 100,245.90 : x
  2. Step 2: Convert to fraction form
    129,770.40/194,655.60 = 100,245.90/x
  3. Step 3: Cross multiply
    129,770.40x = 194,655.60 × 100,245.90
  4. Step 4: Simplify right side
    129,770.40x = 19,513,425,812.04
  5. Step 5: Solve for x
    x = 19,513,425,812.04/129,770.40
  6. Step 6: Final answer
    x = 150,368.85

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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.