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Finding the Fourth Proportional to 101,422.56, 152,181.26 and 45,256.76

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Solution

The fourth proportional to 101,422.56, 152,181.26 and 45,256.76 is: 67,906.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,422.56 : 152,181.26 = 45,256.76 : x
  2. Step 2: Convert to fraction form
    101,422.56/152,181.26 = 45,256.76/x
  3. Step 3: Cross multiply
    101,422.56x = 152,181.26 × 45,256.76
  4. Step 4: Simplify right side
    101,422.56x = 6,887,230,760.32
  5. Step 5: Solve for x
    x = 6,887,230,760.32/101,422.56
  6. Step 6: Final answer
    x = 67,906.30

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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.