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Finding the Fourth Proportional to 80,095.25, 120,130.25 and 26,786.81

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Solution

The fourth proportional to 80,095.25, 120,130.25 and 26,786.81 is: 40,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,095.25 : 120,130.25 = 26,786.81 : x
  2. Step 2: Convert to fraction form
    80,095.25/120,130.25 = 26,786.81/x
  3. Step 3: Cross multiply
    80,095.25x = 120,130.25 × 26,786.81
  4. Step 4: Simplify right side
    80,095.25x = 3,217,905,447.42
  5. Step 5: Solve for x
    x = 3,217,905,447.42/80,095.25
  6. Step 6: Final answer
    x = 40,175.99

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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.