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Finding the Fourth Proportional to 80,184.64, 120,303.69 and 26,881.90

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Solution

The fourth proportional to 80,184.64, 120,303.69 and 26,881.90 is: 40,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,184.64 : 120,303.69 = 26,881.90 : x
  2. Step 2: Convert to fraction form
    80,184.64/120,303.69 = 26,881.90/x
  3. Step 3: Cross multiply
    80,184.64x = 120,303.69 × 26,881.90
  4. Step 4: Simplify right side
    80,184.64x = 3,233,991,764.21
  5. Step 5: Solve for x
    x = 3,233,991,764.21/80,184.64
  6. Step 6: Final answer
    x = 40,331.81

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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.