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Finding the Fourth Proportional to 54,219, 74,817.90 and 30,344.52

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Solution

The fourth proportional to 54,219, 74,817.90 and 30,344.52 is: 41,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,219 : 74,817.90 = 30,344.52 : x
  2. Step 2: Convert to fraction form
    54,219/74,817.90 = 30,344.52/x
  3. Step 3: Cross multiply
    54,219x = 74,817.90 × 30,344.52
  4. Step 4: Simplify right side
    54,219x = 2,270,313,262.91
  5. Step 5: Solve for x
    x = 2,270,313,262.91/54,219
  6. Step 6: Final answer
    x = 41,873.02

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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.