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Finding the Fourth Proportional to 81,306.96, 121,978.97 and 43,866.33

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Solution

The fourth proportional to 81,306.96, 121,978.97 and 43,866.33 is: 65,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,306.96 : 121,978.97 = 43,866.33 : x
  2. Step 2: Convert to fraction form
    81,306.96/121,978.97 = 43,866.33/x
  3. Step 3: Cross multiply
    81,306.96x = 121,978.97 × 43,866.33
  4. Step 4: Simplify right side
    81,306.96x = 5,350,769,531.75
  5. Step 5: Solve for x
    x = 5,350,769,531.75/81,306.96
  6. Step 6: Final answer
    x = 65,809.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.