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Finding the Fourth Proportional to 69,310.42, 103,978.44 and 21,937.46

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Solution

The fourth proportional to 69,310.42, 103,978.44 and 21,937.46 is: 32,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,310.42 : 103,978.44 = 21,937.46 : x
  2. Step 2: Convert to fraction form
    69,310.42/103,978.44 = 21,937.46/x
  3. Step 3: Cross multiply
    69,310.42x = 103,978.44 × 21,937.46
  4. Step 4: Simplify right side
    69,310.42x = 2,281,022,868.36
  5. Step 5: Solve for x
    x = 2,281,022,868.36/69,310.42
  6. Step 6: Final answer
    x = 32,910.24

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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.