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Finding the Fourth Proportional to 125,958, 188,746.56 and 75,982.56

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Solution

The fourth proportional to 125,958, 188,746.56 and 75,982.56 is: 113,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,958 : 188,746.56 = 75,982.56 : x
  2. Step 2: Convert to fraction form
    125,958/188,746.56 = 75,982.56/x
  3. Step 3: Cross multiply
    125,958x = 188,746.56 × 75,982.56
  4. Step 4: Simplify right side
    125,958x = 14,341,446,819.99
  5. Step 5: Solve for x
    x = 14,341,446,819.99/125,958
  6. Step 6: Final answer
    x = 113,858.96

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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.