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Finding the Fourth Proportional to 70,509.21, 105,516.71 and 50,540.69

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Solution

The fourth proportional to 70,509.21, 105,516.71 and 50,540.69 is: 75,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.21 : 105,516.71 = 50,540.69 : x
  2. Step 2: Convert to fraction form
    70,509.21/105,516.71 = 50,540.69/x
  3. Step 3: Cross multiply
    70,509.21x = 105,516.71 × 50,540.69
  4. Step 4: Simplify right side
    70,509.21x = 5,332,886,549.64
  5. Step 5: Solve for x
    x = 5,332,886,549.64/70,509.21
  6. Step 6: Final answer
    x = 75,633.90

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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.