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Finding the Fourth Proportional to 80,527.86, 120,794.31 and 38,412.51

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Solution

The fourth proportional to 80,527.86, 120,794.31 and 38,412.51 is: 57,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,527.86 : 120,794.31 = 38,412.51 : x
  2. Step 2: Convert to fraction form
    80,527.86/120,794.31 = 38,412.51/x
  3. Step 3: Cross multiply
    80,527.86x = 120,794.31 × 38,412.51
  4. Step 4: Simplify right side
    80,527.86x = 4,640,012,640.82
  5. Step 5: Solve for x
    x = 4,640,012,640.82/80,527.86
  6. Step 6: Final answer
    x = 57,619.97

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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.