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Finding the Fourth Proportional to 83,422.60, 115,123.14 and 45,182.15

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Solution

The fourth proportional to 83,422.60, 115,123.14 and 45,182.15 is: 62,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,422.60 : 115,123.14 = 45,182.15 : x
  2. Step 2: Convert to fraction form
    83,422.60/115,123.14 = 45,182.15/x
  3. Step 3: Cross multiply
    83,422.60x = 115,123.14 × 45,182.15
  4. Step 4: Simplify right side
    83,422.60x = 5,201,510,404.34
  5. Step 5: Solve for x
    x = 5,201,510,404.34/83,422.60
  6. Step 6: Final answer
    x = 62,351.34

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