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Finding the Fourth Proportional to 80,471.88, 120,705.73 and 38,381.72

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Solution

The fourth proportional to 80,471.88, 120,705.73 and 38,381.72 is: 57,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,471.88 : 120,705.73 = 38,381.72 : x
  2. Step 2: Convert to fraction form
    80,471.88/120,705.73 = 38,381.72/x
  3. Step 3: Cross multiply
    80,471.88x = 120,705.73 × 38,381.72
  4. Step 4: Simplify right side
    80,471.88x = 4,632,892,831.77
  5. Step 5: Solve for x
    x = 4,632,892,831.77/80,471.88
  6. Step 6: Final answer
    x = 57,571.57

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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.