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Finding the Fourth Proportional to 149,878.20, 224,817.30 and 75,228.60

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Solution

The fourth proportional to 149,878.20, 224,817.30 and 75,228.60 is: 112,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,878.20 : 224,817.30 = 75,228.60 : x
  2. Step 2: Convert to fraction form
    149,878.20/224,817.30 = 75,228.60/x
  3. Step 3: Cross multiply
    149,878.20x = 224,817.30 × 75,228.60
  4. Step 4: Simplify right side
    149,878.20x = 16,912,690,734.78
  5. Step 5: Solve for x
    x = 16,912,690,734.78/149,878.20
  6. Step 6: Final answer
    x = 112,842.90

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1.5x scale

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.