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Finding the Fourth Proportional to 125,814.82, 188,722.22 and 86,251.98

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Solution

The fourth proportional to 125,814.82, 188,722.22 and 86,251.98 is: 129,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,814.82 : 188,722.22 = 86,251.98 : x
  2. Step 2: Convert to fraction form
    125,814.82/188,722.22 = 86,251.98/x
  3. Step 3: Cross multiply
    125,814.82x = 188,722.22 × 86,251.98
  4. Step 4: Simplify right side
    125,814.82x = 16,277,665,145.00
  5. Step 5: Solve for x
    x = 16,277,665,145.00/125,814.82
  6. Step 6: Final answer
    x = 129,377.96

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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.