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Finding the Fourth Proportional to 54,728, 82,100.76 and 23,138.40

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Solution

The fourth proportional to 54,728, 82,100.76 and 23,138.40 is: 34,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,728 : 82,100.76 = 23,138.40 : x
  2. Step 2: Convert to fraction form
    54,728/82,100.76 = 23,138.40/x
  3. Step 3: Cross multiply
    54,728x = 82,100.76 × 23,138.40
  4. Step 4: Simplify right side
    54,728x = 1,899,680,225.18
  5. Step 5: Solve for x
    x = 1,899,680,225.18/54,728
  6. Step 6: Final answer
    x = 34,711.30

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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.