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Finding the Fourth Proportional to 83,433.88, 125,073.06 and 27,991

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Solution

The fourth proportional to 83,433.88, 125,073.06 and 27,991 is: 41,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,433.88 : 125,073.06 = 27,991 : x
  2. Step 2: Convert to fraction form
    83,433.88/125,073.06 = 27,991/x
  3. Step 3: Cross multiply
    83,433.88x = 125,073.06 × 27,991
  4. Step 4: Simplify right side
    83,433.88x = 3,500,920,022.46
  5. Step 5: Solve for x
    x = 3,500,920,022.46/83,433.88
  6. Step 6: Final answer
    x = 41,960.41

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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.