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Finding the Fourth Proportional to 252,862.50, 379,315.62 and 65,874

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Solution

The fourth proportional to 252,862.50, 379,315.62 and 65,874 is: 98,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,862.50 : 379,315.62 = 65,874 : x
  2. Step 2: Convert to fraction form
    252,862.50/379,315.62 = 65,874/x
  3. Step 3: Cross multiply
    252,862.50x = 379,315.62 × 65,874
  4. Step 4: Simplify right side
    252,862.50x = 24,987,037,151.88
  5. Step 5: Solve for x
    x = 24,987,037,151.88/252,862.50
  6. Step 6: Final answer
    x = 98,816.70

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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.