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Finding the Fourth Proportional to 235,780.61, 325,326.78 and 140,268.65

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Solution

The fourth proportional to 235,780.61, 325,326.78 and 140,268.65 is: 193,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,780.61 : 325,326.78 = 140,268.65 : x
  2. Step 2: Convert to fraction form
    235,780.61/325,326.78 = 140,268.65/x
  3. Step 3: Cross multiply
    235,780.61x = 325,326.78 × 140,268.65
  4. Step 4: Simplify right side
    235,780.61x = 45,633,146,612.81
  5. Step 5: Solve for x
    x = 45,633,146,612.81/235,780.61
  6. Step 6: Final answer
    x = 193,540.71

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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.