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Finding the Fourth Proportional to 81,708.76, 112,757.22 and 45,410

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Solution

The fourth proportional to 81,708.76, 112,757.22 and 45,410 is: 62,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,708.76 : 112,757.22 = 45,410 : x
  2. Step 2: Convert to fraction form
    81,708.76/112,757.22 = 45,410/x
  3. Step 3: Cross multiply
    81,708.76x = 112,757.22 × 45,410
  4. Step 4: Simplify right side
    81,708.76x = 5,120,305,360.20
  5. Step 5: Solve for x
    x = 5,120,305,360.20/81,708.76
  6. Step 6: Final answer
    x = 62,665.32

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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.