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Finding the Fourth Proportional to 80,580.34, 120,812.61 and 37,861.68

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Solution

The fourth proportional to 80,580.34, 120,812.61 and 37,861.68 is: 56,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,580.34 : 120,812.61 = 37,861.68 : x
  2. Step 2: Convert to fraction form
    80,580.34/120,812.61 = 37,861.68/x
  3. Step 3: Cross multiply
    80,580.34x = 120,812.61 × 37,861.68
  4. Step 4: Simplify right side
    80,580.34x = 4,574,167,742.49
  5. Step 5: Solve for x
    x = 4,574,167,742.49/80,580.34
  6. Step 6: Final answer
    x = 56,765.31

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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.