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Finding the Fourth Proportional to 149,891.20, 224,836.80 and 75,241.60

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Solution

The fourth proportional to 149,891.20, 224,836.80 and 75,241.60 is: 112,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,891.20 : 224,836.80 = 75,241.60 : x
  2. Step 2: Convert to fraction form
    149,891.20/224,836.80 = 75,241.60/x
  3. Step 3: Cross multiply
    149,891.20x = 224,836.80 × 75,241.60
  4. Step 4: Simplify right side
    149,891.20x = 16,917,080,570.88
  5. Step 5: Solve for x
    x = 16,917,080,570.88/149,891.20
  6. Step 6: Final answer
    x = 112,862.40

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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.