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Finding the Fourth Proportional to 81,278.78, 112,194.79 and 61,193.90

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Solution

The fourth proportional to 81,278.78, 112,194.79 and 61,193.90 is: 84,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,278.78 : 112,194.79 = 61,193.90 : x
  2. Step 2: Convert to fraction form
    81,278.78/112,194.79 = 61,193.90/x
  3. Step 3: Cross multiply
    81,278.78x = 112,194.79 × 61,193.90
  4. Step 4: Simplify right side
    81,278.78x = 6,865,636,887.28
  5. Step 5: Solve for x
    x = 6,865,636,887.28/81,278.78
  6. Step 6: Final answer
    x = 84,470.23

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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.