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Finding the Fourth Proportional to 81,068, 111,871.66 and 45,257

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Solution

The fourth proportional to 81,068, 111,871.66 and 45,257 is: 62,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,068 : 111,871.66 = 45,257 : x
  2. Step 2: Convert to fraction form
    81,068/111,871.66 = 45,257/x
  3. Step 3: Cross multiply
    81,068x = 111,871.66 × 45,257
  4. Step 4: Simplify right side
    81,068x = 5,062,975,716.62
  5. Step 5: Solve for x
    x = 5,062,975,716.62/81,068
  6. Step 6: Final answer
    x = 62,453.44

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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.