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Finding the Fourth Proportional to 163,641.78, 225,842.76 and 100,022.04

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Solution

The fourth proportional to 163,641.78, 225,842.76 and 100,022.04 is: 138,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,641.78 : 225,842.76 = 100,022.04 : x
  2. Step 2: Convert to fraction form
    163,641.78/225,842.76 = 100,022.04/x
  3. Step 3: Cross multiply
    163,641.78x = 225,842.76 × 100,022.04
  4. Step 4: Simplify right side
    163,641.78x = 22,589,253,574.43
  5. Step 5: Solve for x
    x = 22,589,253,574.43/163,641.78
  6. Step 6: Final answer
    x = 138,040.87

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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.