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Finding the Fourth Proportional to 260,765.83, 391,085.52 and 71,227.08

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Solution

The fourth proportional to 260,765.83, 391,085.52 and 71,227.08 is: 106,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,765.83 : 391,085.52 = 71,227.08 : x
  2. Step 2: Convert to fraction form
    260,765.83/391,085.52 = 71,227.08/x
  3. Step 3: Cross multiply
    260,765.83x = 391,085.52 × 71,227.08
  4. Step 4: Simplify right side
    260,765.83x = 27,855,879,619.88
  5. Step 5: Solve for x
    x = 27,855,879,619.88/260,765.83
  6. Step 6: Final answer
    x = 106,823.35

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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.