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Finding the Fourth Proportional to 55,115, 82,672.54 and 18,179

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Solution

The fourth proportional to 55,115, 82,672.54 and 18,179 is: 27,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,115 : 82,672.54 = 18,179 : x
  2. Step 2: Convert to fraction form
    55,115/82,672.54 = 18,179/x
  3. Step 3: Cross multiply
    55,115x = 82,672.54 × 18,179
  4. Step 4: Simplify right side
    55,115x = 1,502,904,104.66
  5. Step 5: Solve for x
    x = 1,502,904,104.66/55,115
  6. Step 6: Final answer
    x = 27,268.51

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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.