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Finding the Fourth Proportional to 80,878.83, 120,719.44 and 75,892.47

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Solution

The fourth proportional to 80,878.83, 120,719.44 and 75,892.47 is: 113,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,878.83 : 120,719.44 = 75,892.47 : x
  2. Step 2: Convert to fraction form
    80,878.83/120,719.44 = 75,892.47/x
  3. Step 3: Cross multiply
    80,878.83x = 120,719.44 × 75,892.47
  4. Step 4: Simplify right side
    80,878.83x = 9,161,696,478.62
  5. Step 5: Solve for x
    x = 9,161,696,478.62/80,878.83
  6. Step 6: Final answer
    x = 113,276.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.