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Finding the Fourth Proportional to 223,432.65, 335,308.92 and 81,277.65

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Solution

The fourth proportional to 223,432.65, 335,308.92 and 81,277.65 is: 121,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,432.65 : 335,308.92 = 81,277.65 : x
  2. Step 2: Convert to fraction form
    223,432.65/335,308.92 = 81,277.65/x
  3. Step 3: Cross multiply
    223,432.65x = 335,308.92 × 81,277.65
  4. Step 4: Simplify right side
    223,432.65x = 27,253,121,041.64
  5. Step 5: Solve for x
    x = 27,253,121,041.64/223,432.65
  6. Step 6: Final answer
    x = 121,974.66

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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.