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Finding the Fourth Proportional to 54,880.80, 82,311.63 and 15,428.53

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Solution

The fourth proportional to 54,880.80, 82,311.63 and 15,428.53 is: 23,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,880.80 : 82,311.63 = 15,428.53 : x
  2. Step 2: Convert to fraction form
    54,880.80/82,311.63 = 15,428.53/x
  3. Step 3: Cross multiply
    54,880.80x = 82,311.63 × 15,428.53
  4. Step 4: Simplify right side
    54,880.80x = 1,269,947,497.84
  5. Step 5: Solve for x
    x = 1,269,947,497.84/54,880.80
  6. Step 6: Final answer
    x = 23,140.11

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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.