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Finding the Fourth Proportional to 69,976.38, 96,564.96 and 38,144.64

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Solution

The fourth proportional to 69,976.38, 96,564.96 and 38,144.64 is: 52,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,976.38 : 96,564.96 = 38,144.64 : x
  2. Step 2: Convert to fraction form
    69,976.38/96,564.96 = 38,144.64/x
  3. Step 3: Cross multiply
    69,976.38x = 96,564.96 × 38,144.64
  4. Step 4: Simplify right side
    69,976.38x = 3,683,435,635.81
  5. Step 5: Solve for x
    x = 3,683,435,635.81/69,976.38
  6. Step 6: Final answer
    x = 52,638.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.