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Finding the Fourth Proportional to 83,441.88, 115,046.46 and 55,102.68

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Solution

The fourth proportional to 83,441.88, 115,046.46 and 55,102.68 is: 75,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,441.88 : 115,046.46 = 55,102.68 : x
  2. Step 2: Convert to fraction form
    83,441.88/115,046.46 = 55,102.68/x
  3. Step 3: Cross multiply
    83,441.88x = 115,046.46 × 55,102.68
  4. Step 4: Simplify right side
    83,441.88x = 6,339,368,270.51
  5. Step 5: Solve for x
    x = 6,339,368,270.51/83,441.88
  6. Step 6: Final answer
    x = 75,973.46

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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.