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Finding the Fourth Proportional to 125,380.81, 188,064.59 and 41,129.88

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Solution

The fourth proportional to 125,380.81, 188,064.59 and 41,129.88 is: 61,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,380.81 : 188,064.59 = 41,129.88 : x
  2. Step 2: Convert to fraction form
    125,380.81/188,064.59 = 41,129.88/x
  3. Step 3: Cross multiply
    125,380.81x = 188,064.59 × 41,129.88
  4. Step 4: Simplify right side
    125,380.81x = 7,735,073,108.06
  5. Step 5: Solve for x
    x = 7,735,073,108.06/125,380.81
  6. Step 6: Final answer
    x = 61,692.64

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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.