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Finding the Fourth Proportional to 55,865.72, 83,780.82 and 18,418.82

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Solution

The fourth proportional to 55,865.72, 83,780.82 and 18,418.82 is: 27,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,865.72 : 83,780.82 = 18,418.82 : x
  2. Step 2: Convert to fraction form
    55,865.72/83,780.82 = 18,418.82/x
  3. Step 3: Cross multiply
    55,865.72x = 83,780.82 × 18,418.82
  4. Step 4: Simplify right side
    55,865.72x = 1,543,143,424.13
  5. Step 5: Solve for x
    x = 1,543,143,424.13/55,865.72
  6. Step 6: Final answer
    x = 27,622.37

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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.