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Finding the Fourth Proportional to 151,170, 226,759.92 and 45,990

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Solution

The fourth proportional to 151,170, 226,759.92 and 45,990 is: 68,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,170 : 226,759.92 = 45,990 : x
  2. Step 2: Convert to fraction form
    151,170/226,759.92 = 45,990/x
  3. Step 3: Cross multiply
    151,170x = 226,759.92 × 45,990
  4. Step 4: Simplify right side
    151,170x = 10,428,688,720.80
  5. Step 5: Solve for x
    x = 10,428,688,720.80/151,170
  6. Step 6: Final answer
    x = 68,986.50

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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.