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Finding the Fourth Proportional to 83,780.73, 115,622.64 and 47,969.82

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Solution

The fourth proportional to 83,780.73, 115,622.64 and 47,969.82 is: 66,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780.73 : 115,622.64 = 47,969.82 : x
  2. Step 2: Convert to fraction form
    83,780.73/115,622.64 = 47,969.82/x
  3. Step 3: Cross multiply
    83,780.73x = 115,622.64 × 47,969.82
  4. Step 4: Simplify right side
    83,780.73x = 5,546,397,228.72
  5. Step 5: Solve for x
    x = 5,546,397,228.72/83,780.73
  6. Step 6: Final answer
    x = 66,201.35

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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.