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Finding the Fourth Proportional to 69,574.96, 104,378.36 and 30,138.64

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Solution

The fourth proportional to 69,574.96, 104,378.36 and 30,138.64 is: 45,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,574.96 : 104,378.36 = 30,138.64 : x
  2. Step 2: Convert to fraction form
    69,574.96/104,378.36 = 30,138.64/x
  3. Step 3: Cross multiply
    69,574.96x = 104,378.36 × 30,138.64
  4. Step 4: Simplify right side
    69,574.96x = 3,145,821,815.83
  5. Step 5: Solve for x
    x = 3,145,821,815.83/69,574.96
  6. Step 6: Final answer
    x = 45,214.86

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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.