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Finding the Fourth Proportional to 149,000.90, 205,621.19 and 81,932.90

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Solution

The fourth proportional to 149,000.90, 205,621.19 and 81,932.90 is: 113,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,000.90 : 205,621.19 = 81,932.90 : x
  2. Step 2: Convert to fraction form
    149,000.90/205,621.19 = 81,932.90/x
  3. Step 3: Cross multiply
    149,000.90x = 205,621.19 × 81,932.90
  4. Step 4: Simplify right side
    149,000.90x = 16,847,140,398.15
  5. Step 5: Solve for x
    x = 16,847,140,398.15/149,000.90
  6. Step 6: Final answer
    x = 113,067.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.