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Finding the Fourth Proportional to 54,870.78, 82,311.03 and 15,428.24

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Solution

The fourth proportional to 54,870.78, 82,311.03 and 15,428.24 is: 23,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,870.78 : 82,311.03 = 15,428.24 : x
  2. Step 2: Convert to fraction form
    54,870.78/82,311.03 = 15,428.24/x
  3. Step 3: Cross multiply
    54,870.78x = 82,311.03 × 15,428.24
  4. Step 4: Simplify right side
    54,870.78x = 1,269,913,913.93
  5. Step 5: Solve for x
    x = 1,269,913,913.93/54,870.78
  6. Step 6: Final answer
    x = 23,143.72

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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.