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Finding the Fourth Proportional to 55,318.56, 76,338.84 and 30,168

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Solution

The fourth proportional to 55,318.56, 76,338.84 and 30,168 is: 41,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,318.56 : 76,338.84 = 30,168 : x
  2. Step 2: Convert to fraction form
    55,318.56/76,338.84 = 30,168/x
  3. Step 3: Cross multiply
    55,318.56x = 76,338.84 × 30,168
  4. Step 4: Simplify right side
    55,318.56x = 2,302,990,125.12
  5. Step 5: Solve for x
    x = 2,302,990,125.12/55,318.56
  6. Step 6: Final answer
    x = 41,631.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.