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Finding the Fourth Proportional to 69,102.80, 103,628.16 and 22,343.12

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Solution

The fourth proportional to 69,102.80, 103,628.16 and 22,343.12 is: 33,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102.80 : 103,628.16 = 22,343.12 : x
  2. Step 2: Convert to fraction form
    69,102.80/103,628.16 = 22,343.12/x
  3. Step 3: Cross multiply
    69,102.80x = 103,628.16 × 22,343.12
  4. Step 4: Simplify right side
    69,102.80x = 2,315,376,414.26
  5. Step 5: Solve for x
    x = 2,315,376,414.26/69,102.80
  6. Step 6: Final answer
    x = 33,506.26

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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.