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Finding the Fourth Proportional to 54,880.74, 82,325.97 and 15,438.20

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Solution

The fourth proportional to 54,880.74, 82,325.97 and 15,438.20 is: 23,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,880.74 : 82,325.97 = 15,438.20 : x
  2. Step 2: Convert to fraction form
    54,880.74/82,325.97 = 15,438.20/x
  3. Step 3: Cross multiply
    54,880.74x = 82,325.97 × 15,438.20
  4. Step 4: Simplify right side
    54,880.74x = 1,270,964,378.42
  5. Step 5: Solve for x
    x = 1,270,964,378.42/54,880.74
  6. Step 6: Final answer
    x = 23,158.66

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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.