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Finding the Fourth Proportional to 69,244.12, 103,866.10 and 21,862.86

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Solution

The fourth proportional to 69,244.12, 103,866.10 and 21,862.86 is: 32,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,244.12 : 103,866.10 = 21,862.86 : x
  2. Step 2: Convert to fraction form
    69,244.12/103,866.10 = 21,862.86/x
  3. Step 3: Cross multiply
    69,244.12x = 103,866.10 × 21,862.86
  4. Step 4: Simplify right side
    69,244.12x = 2,270,810,143.14
  5. Step 5: Solve for x
    x = 2,270,810,143.14/69,244.12
  6. Step 6: Final answer
    x = 32,794.27

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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.