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Finding the Fourth Proportional to 81,761.58, 112,818.42 and 45,944.64

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Solution

The fourth proportional to 81,761.58, 112,818.42 and 45,944.64 is: 63,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,761.58 : 112,818.42 = 45,944.64 : x
  2. Step 2: Convert to fraction form
    81,761.58/112,818.42 = 45,944.64/x
  3. Step 3: Cross multiply
    81,761.58x = 112,818.42 × 45,944.64
  4. Step 4: Simplify right side
    81,761.58x = 5,183,401,692.27
  5. Step 5: Solve for x
    x = 5,183,401,692.27/81,761.58
  6. Step 6: Final answer
    x = 63,396.55

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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.