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Finding the Fourth Proportional to 252,103.50, 378,220.05 and 85,891.50

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Solution

The fourth proportional to 252,103.50, 378,220.05 and 85,891.50 is: 128,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,103.50 : 378,220.05 = 85,891.50 : x
  2. Step 2: Convert to fraction form
    252,103.50/378,220.05 = 85,891.50/x
  3. Step 3: Cross multiply
    252,103.50x = 378,220.05 × 85,891.50
  4. Step 4: Simplify right side
    252,103.50x = 32,485,887,424.58
  5. Step 5: Solve for x
    x = 32,485,887,424.58/252,103.50
  6. Step 6: Final answer
    x = 128,859.33

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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.