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Finding the Fourth Proportional to 69,207, 103,817.79 and 31,760.70

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Solution

The fourth proportional to 69,207, 103,817.79 and 31,760.70 is: 47,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,207 : 103,817.79 = 31,760.70 : x
  2. Step 2: Convert to fraction form
    69,207/103,817.79 = 31,760.70/x
  3. Step 3: Cross multiply
    69,207x = 103,817.79 × 31,760.70
  4. Step 4: Simplify right side
    69,207x = 3,297,325,682.85
  5. Step 5: Solve for x
    x = 3,297,325,682.85/69,207
  6. Step 6: Final answer
    x = 47,644.40

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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.