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Finding the Fourth Proportional to 125,821.72, 188,440.92 and 75,792.52

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Solution

The fourth proportional to 125,821.72, 188,440.92 and 75,792.52 is: 113,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,821.72 : 188,440.92 = 75,792.52 : x
  2. Step 2: Convert to fraction form
    125,821.72/188,440.92 = 75,792.52/x
  3. Step 3: Cross multiply
    125,821.72x = 188,440.92 × 75,792.52
  4. Step 4: Simplify right side
    125,821.72x = 14,282,412,197.92
  5. Step 5: Solve for x
    x = 14,282,412,197.92/125,821.72
  6. Step 6: Final answer
    x = 113,513.09

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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.