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Finding the Fourth Proportional to 100,081.76, 138,111.65 and 54,759.22

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Solution

The fourth proportional to 100,081.76, 138,111.65 and 54,759.22 is: 75,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,081.76 : 138,111.65 = 54,759.22 : x
  2. Step 2: Convert to fraction form
    100,081.76/138,111.65 = 54,759.22/x
  3. Step 3: Cross multiply
    100,081.76x = 138,111.65 × 54,759.22
  4. Step 4: Simplify right side
    100,081.76x = 7,562,885,262.56
  5. Step 5: Solve for x
    x = 7,562,885,262.56/100,081.76
  6. Step 6: Final answer
    x = 75,567.07

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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.