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Finding the Fourth Proportional to 80,494, 120,747.66 and 25,090

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Solution

The fourth proportional to 80,494, 120,747.66 and 25,090 is: 37,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,494 : 120,747.66 = 25,090 : x
  2. Step 2: Convert to fraction form
    80,494/120,747.66 = 25,090/x
  3. Step 3: Cross multiply
    80,494x = 120,747.66 × 25,090
  4. Step 4: Simplify right side
    80,494x = 3,029,558,789.40
  5. Step 5: Solve for x
    x = 3,029,558,789.40/80,494
  6. Step 6: Final answer
    x = 37,637.08

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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.