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Finding the Fourth Proportional to 83,101.28, 114,679.76 and 45,375.56

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Solution

The fourth proportional to 83,101.28, 114,679.76 and 45,375.56 is: 62,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.28 : 114,679.76 = 45,375.56 : x
  2. Step 2: Convert to fraction form
    83,101.28/114,679.76 = 45,375.56/x
  3. Step 3: Cross multiply
    83,101.28x = 114,679.76 × 45,375.56
  4. Step 4: Simplify right side
    83,101.28x = 5,203,658,330.67
  5. Step 5: Solve for x
    x = 5,203,658,330.67/83,101.28
  6. Step 6: Final answer
    x = 62,618.27

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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.