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Finding the Fourth Proportional to 125,471.85, 188,092.25 and 54,349.80

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Solution

The fourth proportional to 125,471.85, 188,092.25 and 54,349.80 is: 81,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,471.85 : 188,092.25 = 54,349.80 : x
  2. Step 2: Convert to fraction form
    125,471.85/188,092.25 = 54,349.80/x
  3. Step 3: Cross multiply
    125,471.85x = 188,092.25 × 54,349.80
  4. Step 4: Simplify right side
    125,471.85x = 10,222,776,169.05
  5. Step 5: Solve for x
    x = 10,222,776,169.05/125,471.85
  6. Step 6: Final answer
    x = 81,474.66

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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.