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Finding the Fourth Proportional to 55,863, 83,796.66 and 18,927

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Solution

The fourth proportional to 55,863, 83,796.66 and 18,927 is: 28,391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,863 : 83,796.66 = 18,927 : x
  2. Step 2: Convert to fraction form
    55,863/83,796.66 = 18,927/x
  3. Step 3: Cross multiply
    55,863x = 83,796.66 × 18,927
  4. Step 4: Simplify right side
    55,863x = 1,586,019,383.82
  5. Step 5: Solve for x
    x = 1,586,019,383.82/55,863
  6. Step 6: Final answer
    x = 28,391.23

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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.