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Finding the Fourth Proportional to 125,960, 188,749.56 and 75,984.56

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Solution

The fourth proportional to 125,960, 188,749.56 and 75,984.56 is: 113,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,960 : 188,749.56 = 75,984.56 : x
  2. Step 2: Convert to fraction form
    125,960/188,749.56 = 75,984.56/x
  3. Step 3: Cross multiply
    125,960x = 188,749.56 × 75,984.56
  4. Step 4: Simplify right side
    125,960x = 14,342,052,266.79
  5. Step 5: Solve for x
    x = 14,342,052,266.79/125,960
  6. Step 6: Final answer
    x = 113,861.96

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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.