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Finding the Fourth Proportional to 80,111.70, 120,178.35 and 27,537.30

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Solution

The fourth proportional to 80,111.70, 120,178.35 and 27,537.30 is: 41,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,111.70 : 120,178.35 = 27,537.30 : x
  2. Step 2: Convert to fraction form
    80,111.70/120,178.35 = 27,537.30/x
  3. Step 3: Cross multiply
    80,111.70x = 120,178.35 × 27,537.30
  4. Step 4: Simplify right side
    80,111.70x = 3,309,387,277.46
  5. Step 5: Solve for x
    x = 3,309,387,277.46/80,111.70
  6. Step 6: Final answer
    x = 41,309.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.