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Finding the Fourth Proportional to 149,432.42, 206,215.42 and 81,449.40

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Solution

The fourth proportional to 149,432.42, 206,215.42 and 81,449.40 is: 112,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,432.42 : 206,215.42 = 81,449.40 : x
  2. Step 2: Convert to fraction form
    149,432.42/206,215.42 = 81,449.40/x
  3. Step 3: Cross multiply
    149,432.42x = 206,215.42 × 81,449.40
  4. Step 4: Simplify right side
    149,432.42x = 16,796,122,229.75
  5. Step 5: Solve for x
    x = 16,796,122,229.75/149,432.42
  6. Step 6: Final answer
    x = 112,399.45

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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.