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Finding the Fourth Proportional to 81,651.06, 112,669.74 and 45,845

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Solution

The fourth proportional to 81,651.06, 112,669.74 and 45,845 is: 63,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651.06 : 112,669.74 = 45,845 : x
  2. Step 2: Convert to fraction form
    81,651.06/112,669.74 = 45,845/x
  3. Step 3: Cross multiply
    81,651.06x = 112,669.74 × 45,845
  4. Step 4: Simplify right side
    81,651.06x = 5,165,344,230.30
  5. Step 5: Solve for x
    x = 5,165,344,230.30/81,651.06
  6. Step 6: Final answer
    x = 63,261.20

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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.