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Finding the Fourth Proportional to 90,452.64, 135,629.24 and 71,851.80

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Solution

The fourth proportional to 90,452.64, 135,629.24 and 71,851.80 is: 107,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,452.64 : 135,629.24 = 71,851.80 : x
  2. Step 2: Convert to fraction form
    90,452.64/135,629.24 = 71,851.80/x
  3. Step 3: Cross multiply
    90,452.64x = 135,629.24 × 71,851.80
  4. Step 4: Simplify right side
    90,452.64x = 9,745,205,026.63
  5. Step 5: Solve for x
    x = 9,745,205,026.63/90,452.64
  6. Step 6: Final answer
    x = 107,738.20

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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.