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Finding the Fourth Proportional to 80,727.60, 111,264.12 and 76,062

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Solution

The fourth proportional to 80,727.60, 111,264.12 and 76,062 is: 104,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,727.60 : 111,264.12 = 76,062 : x
  2. Step 2: Convert to fraction form
    80,727.60/111,264.12 = 76,062/x
  3. Step 3: Cross multiply
    80,727.60x = 111,264.12 × 76,062
  4. Step 4: Simplify right side
    80,727.60x = 8,462,971,495.44
  5. Step 5: Solve for x
    x = 8,462,971,495.44/80,727.60
  6. Step 6: Final answer
    x = 104,833.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.