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Finding the Fourth Proportional to 125,866, 188,799 and 51,995.92

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Solution

The fourth proportional to 125,866, 188,799 and 51,995.92 is: 77,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,866 : 188,799 = 51,995.92 : x
  2. Step 2: Convert to fraction form
    125,866/188,799 = 51,995.92/x
  3. Step 3: Cross multiply
    125,866x = 188,799 × 51,995.92
  4. Step 4: Simplify right side
    125,866x = 9,816,777,700.08
  5. Step 5: Solve for x
    x = 9,816,777,700.08/125,866
  6. Step 6: Final answer
    x = 77,993.88

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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.