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Finding the Fourth Proportional to 120,469.74, 180,713.48 and 31,722.63

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Solution

The fourth proportional to 120,469.74, 180,713.48 and 31,722.63 is: 47,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,469.74 : 180,713.48 = 31,722.63 : x
  2. Step 2: Convert to fraction form
    120,469.74/180,713.48 = 31,722.63/x
  3. Step 3: Cross multiply
    120,469.74x = 180,713.48 × 31,722.63
  4. Step 4: Simplify right side
    120,469.74x = 5,732,705,958.49
  5. Step 5: Solve for x
    x = 5,732,705,958.49/120,469.74
  6. Step 6: Final answer
    x = 47,586.28

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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.