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Finding the Fourth Proportional to 80,397.87, 120,615.18 and 27,807.30

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Solution

The fourth proportional to 80,397.87, 120,615.18 and 27,807.30 is: 41,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,397.87 : 120,615.18 = 27,807.30 : x
  2. Step 2: Convert to fraction form
    80,397.87/120,615.18 = 27,807.30/x
  3. Step 3: Cross multiply
    80,397.87x = 120,615.18 × 27,807.30
  4. Step 4: Simplify right side
    80,397.87x = 3,353,982,494.81
  5. Step 5: Solve for x
    x = 3,353,982,494.81/80,397.87
  6. Step 6: Final answer
    x = 41,717.31

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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.