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Finding the Fourth Proportional to 54,737.10, 82,138.05 and 39,908.70

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Solution

The fourth proportional to 54,737.10, 82,138.05 and 39,908.70 is: 59,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737.10 : 82,138.05 = 39,908.70 : x
  2. Step 2: Convert to fraction form
    54,737.10/82,138.05 = 39,908.70/x
  3. Step 3: Cross multiply
    54,737.10x = 82,138.05 × 39,908.70
  4. Step 4: Simplify right side
    54,737.10x = 3,278,022,796.04
  5. Step 5: Solve for x
    x = 3,278,022,796.04/54,737.10
  6. Step 6: Final answer
    x = 59,886.67

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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.