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Finding the Fourth Proportional to 55,728, 83,595.84 and 18,278.16

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Solution

The fourth proportional to 55,728, 83,595.84 and 18,278.16 is: 27,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728 : 83,595.84 = 18,278.16 : x
  2. Step 2: Convert to fraction form
    55,728/83,595.84 = 18,278.16/x
  3. Step 3: Cross multiply
    55,728x = 83,595.84 × 18,278.16
  4. Step 4: Simplify right side
    55,728x = 1,527,978,138.85
  5. Step 5: Solve for x
    x = 1,527,978,138.85/55,728
  6. Step 6: Final answer
    x = 27,418.50

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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.