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Finding the Fourth Proportional to 260,782.74, 391,154.67 and 83,308.50

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Solution

The fourth proportional to 260,782.74, 391,154.67 and 83,308.50 is: 124,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,782.74 : 391,154.67 = 83,308.50 : x
  2. Step 2: Convert to fraction form
    260,782.74/391,154.67 = 83,308.50/x
  3. Step 3: Cross multiply
    260,782.74x = 391,154.67 × 83,308.50
  4. Step 4: Simplify right side
    260,782.74x = 32,586,508,825.70
  5. Step 5: Solve for x
    x = 32,586,508,825.70/260,782.74
  6. Step 6: Final answer
    x = 124,956.54

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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.