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Finding the Fourth Proportional to 81,676.76, 112,363.98 and 78,177.56

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Solution

The fourth proportional to 81,676.76, 112,363.98 and 78,177.56 is: 107,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,676.76 : 112,363.98 = 78,177.56 : x
  2. Step 2: Convert to fraction form
    81,676.76/112,363.98 = 78,177.56/x
  3. Step 3: Cross multiply
    81,676.76x = 112,363.98 × 78,177.56
  4. Step 4: Simplify right side
    81,676.76x = 8,784,341,788.29
  5. Step 5: Solve for x
    x = 8,784,341,788.29/81,676.76
  6. Step 6: Final answer
    x = 107,550.08

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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.