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Finding the Fourth Proportional to 83,344, 115,013.84 and 45,102.72

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Solution

The fourth proportional to 83,344, 115,013.84 and 45,102.72 is: 62,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,344 : 115,013.84 = 45,102.72 : x
  2. Step 2: Convert to fraction form
    83,344/115,013.84 = 45,102.72/x
  3. Step 3: Cross multiply
    83,344x = 115,013.84 × 45,102.72
  4. Step 4: Simplify right side
    83,344x = 5,187,437,021.64
  5. Step 5: Solve for x
    x = 5,187,437,021.64/83,344
  6. Step 6: Final answer
    x = 62,241.28

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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.