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Finding the Fourth Proportional to 125,664.69, 188,510.78 and 54,538.43

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Solution

The fourth proportional to 125,664.69, 188,510.78 and 54,538.43 is: 81,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,664.69 : 188,510.78 = 54,538.43 : x
  2. Step 2: Convert to fraction form
    125,664.69/188,510.78 = 54,538.43/x
  3. Step 3: Cross multiply
    125,664.69x = 188,510.78 × 54,538.43
  4. Step 4: Simplify right side
    125,664.69x = 10,281,082,177.86
  5. Step 5: Solve for x
    x = 10,281,082,177.86/125,664.69
  6. Step 6: Final answer
    x = 81,813.61

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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.