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Finding the Fourth Proportional to 261,055.31, 391,631.96 and 83,514.65

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Solution

The fourth proportional to 261,055.31, 391,631.96 and 83,514.65 is: 125,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,055.31 : 391,631.96 = 83,514.65 : x
  2. Step 2: Convert to fraction form
    261,055.31/391,631.96 = 83,514.65/x
  3. Step 3: Cross multiply
    261,055.31x = 391,631.96 × 83,514.65
  4. Step 4: Simplify right side
    261,055.31x = 32,707,004,318.84
  5. Step 5: Solve for x
    x = 32,707,004,318.84/261,055.31
  6. Step 6: Final answer
    x = 125,287.64

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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.