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Finding the Fourth Proportional to 54,768.96, 82,132.78 and 19,219.27

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Solution

The fourth proportional to 54,768.96, 82,132.78 and 19,219.27 is: 28,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,768.96 : 82,132.78 = 19,219.27 : x
  2. Step 2: Convert to fraction form
    54,768.96/82,132.78 = 19,219.27/x
  3. Step 3: Cross multiply
    54,768.96x = 82,132.78 × 19,219.27
  4. Step 4: Simplify right side
    54,768.96x = 1,578,532,074.67
  5. Step 5: Solve for x
    x = 1,578,532,074.67/54,768.96
  6. Step 6: Final answer
    x = 28,821.66

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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.