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Finding the Fourth Proportional to 55,278, 82,929.96 and 18,342

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Solution

The fourth proportional to 55,278, 82,929.96 and 18,342 is: 27,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,278 : 82,929.96 = 18,342 : x
  2. Step 2: Convert to fraction form
    55,278/82,929.96 = 18,342/x
  3. Step 3: Cross multiply
    55,278x = 82,929.96 × 18,342
  4. Step 4: Simplify right side
    55,278x = 1,521,101,326.32
  5. Step 5: Solve for x
    x = 1,521,101,326.32/55,278
  6. Step 6: Final answer
    x = 27,517.30

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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.