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Finding the Fourth Proportional to 55,246, 82,881.96 and 18,310

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Solution

The fourth proportional to 55,246, 82,881.96 and 18,310 is: 27,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,246 : 82,881.96 = 18,310 : x
  2. Step 2: Convert to fraction form
    55,246/82,881.96 = 18,310/x
  3. Step 3: Cross multiply
    55,246x = 82,881.96 × 18,310
  4. Step 4: Simplify right side
    55,246x = 1,517,568,687.60
  5. Step 5: Solve for x
    x = 1,517,568,687.60/55,246
  6. Step 6: Final answer
    x = 27,469.30

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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.