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Finding the Fourth Proportional to 80,078.66, 120,043.70 and 37,978.43

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Solution

The fourth proportional to 80,078.66, 120,043.70 and 37,978.43 is: 56,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,078.66 : 120,043.70 = 37,978.43 : x
  2. Step 2: Convert to fraction form
    80,078.66/120,043.70 = 37,978.43/x
  3. Step 3: Cross multiply
    80,078.66x = 120,043.70 × 37,978.43
  4. Step 4: Simplify right side
    80,078.66x = 4,559,071,257.39
  5. Step 5: Solve for x
    x = 4,559,071,257.39/80,078.66
  6. Step 6: Final answer
    x = 56,932.41

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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.