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Finding the Fourth Proportional to 80,702, 121,072.44 and 25,298

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Solution

The fourth proportional to 80,702, 121,072.44 and 25,298 is: 37,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,702 : 121,072.44 = 25,298 : x
  2. Step 2: Convert to fraction form
    80,702/121,072.44 = 25,298/x
  3. Step 3: Cross multiply
    80,702x = 121,072.44 × 25,298
  4. Step 4: Simplify right side
    80,702x = 3,062,890,587.12
  5. Step 5: Solve for x
    x = 3,062,890,587.12/80,702
  6. Step 6: Final answer
    x = 37,953.09

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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.