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Finding the Fourth Proportional to 260,781.24, 391,152.42 and 83,307

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Solution

The fourth proportional to 260,781.24, 391,152.42 and 83,307 is: 124,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,781.24 : 391,152.42 = 83,307 : x
  2. Step 2: Convert to fraction form
    260,781.24/391,152.42 = 83,307/x
  3. Step 3: Cross multiply
    260,781.24x = 391,152.42 × 83,307
  4. Step 4: Simplify right side
    260,781.24x = 32,585,734,652.94
  5. Step 5: Solve for x
    x = 32,585,734,652.94/260,781.24
  6. Step 6: Final answer
    x = 124,954.29

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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.