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Finding the Fourth Proportional to 35,081, 48,412.92 and 20,177

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Solution

The fourth proportional to 35,081, 48,412.92 and 20,177 is: 27,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,081 : 48,412.92 = 20,177 : x
  2. Step 2: Convert to fraction form
    35,081/48,412.92 = 20,177/x
  3. Step 3: Cross multiply
    35,081x = 48,412.92 × 20,177
  4. Step 4: Simplify right side
    35,081x = 976,827,486.84
  5. Step 5: Solve for x
    x = 976,827,486.84/35,081
  6. Step 6: Final answer
    x = 27,844.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.