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Finding the Fourth Proportional to 81,266, 112,171.12 and 47,289.84

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Solution

The fourth proportional to 81,266, 112,171.12 and 47,289.84 is: 65,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,266 : 112,171.12 = 47,289.84 : x
  2. Step 2: Convert to fraction form
    81,266/112,171.12 = 47,289.84/x
  3. Step 3: Cross multiply
    81,266x = 112,171.12 × 47,289.84
  4. Step 4: Simplify right side
    81,266x = 5,304,554,317.42
  5. Step 5: Solve for x
    x = 5,304,554,317.42/81,266
  6. Step 6: Final answer
    x = 65,273.97

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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.