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Finding the Fourth Proportional to 80,978.70, 121,431.60 and 36,582.60

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Solution

The fourth proportional to 80,978.70, 121,431.60 and 36,582.60 is: 54,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,978.70 : 121,431.60 = 36,582.60 : x
  2. Step 2: Convert to fraction form
    80,978.70/121,431.60 = 36,582.60/x
  3. Step 3: Cross multiply
    80,978.70x = 121,431.60 × 36,582.60
  4. Step 4: Simplify right side
    80,978.70x = 4,442,283,650.16
  5. Step 5: Solve for x
    x = 4,442,283,650.16/80,978.70
  6. Step 6: Final answer
    x = 54,857.43

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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.