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Finding the Fourth Proportional to 261,052.68, 391,628.03 and 83,512.02

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Solution

The fourth proportional to 261,052.68, 391,628.03 and 83,512.02 is: 125,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,052.68 : 391,628.03 = 83,512.02 : x
  2. Step 2: Convert to fraction form
    261,052.68/391,628.03 = 83,512.02/x
  3. Step 3: Cross multiply
    261,052.68x = 391,628.03 × 83,512.02
  4. Step 4: Simplify right side
    261,052.68x = 32,705,647,456.36
  5. Step 5: Solve for x
    x = 32,705,647,456.36/261,052.68
  6. Step 6: Final answer
    x = 125,283.71

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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.