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Finding the Fourth Proportional to 55,179, 82,781.46 and 18,243

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Solution

The fourth proportional to 55,179, 82,781.46 and 18,243 is: 27,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,179 : 82,781.46 = 18,243 : x
  2. Step 2: Convert to fraction form
    55,179/82,781.46 = 18,243/x
  3. Step 3: Cross multiply
    55,179x = 82,781.46 × 18,243
  4. Step 4: Simplify right side
    55,179x = 1,510,182,174.78
  5. Step 5: Solve for x
    x = 1,510,182,174.78/55,179
  6. Step 6: Final answer
    x = 27,368.78

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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.