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Finding the Fourth Proportional to 83,648.40, 125,361.84 and 61,357.40

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Solution

The fourth proportional to 83,648.40, 125,361.84 and 61,357.40 is: 91,954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,648.40 : 125,361.84 = 61,357.40 : x
  2. Step 2: Convert to fraction form
    83,648.40/125,361.84 = 61,357.40/x
  3. Step 3: Cross multiply
    83,648.40x = 125,361.84 × 61,357.40
  4. Step 4: Simplify right side
    83,648.40x = 7,691,876,635.00
  5. Step 5: Solve for x
    x = 7,691,876,635.00/83,648.40
  6. Step 6: Final answer
    x = 91,954.86

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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.