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Finding the Fourth Proportional to 69,138.70, 103,640.64 and 37,520.17

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Solution

The fourth proportional to 69,138.70, 103,640.64 and 37,520.17 is: 56,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138.70 : 103,640.64 = 37,520.17 : x
  2. Step 2: Convert to fraction form
    69,138.70/103,640.64 = 37,520.17/x
  3. Step 3: Cross multiply
    69,138.70x = 103,640.64 × 37,520.17
  4. Step 4: Simplify right side
    69,138.70x = 3,888,614,431.71
  5. Step 5: Solve for x
    x = 3,888,614,431.71/69,138.70
  6. Step 6: Final answer
    x = 56,243.67

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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.