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Finding the Fourth Proportional to 54,851.70, 82,280.73 and 15,411.88

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Solution

The fourth proportional to 54,851.70, 82,280.73 and 15,411.88 is: 23,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851.70 : 82,280.73 = 15,411.88 : x
  2. Step 2: Convert to fraction form
    54,851.70/82,280.73 = 15,411.88/x
  3. Step 3: Cross multiply
    54,851.70x = 82,280.73 × 15,411.88
  4. Step 4: Simplify right side
    54,851.70x = 1,268,100,737.07
  5. Step 5: Solve for x
    x = 1,268,100,737.07/54,851.70
  6. Step 6: Final answer
    x = 23,118.71

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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.