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Finding the Fourth Proportional to 69,129.64, 103,698.78 and 22,387.24

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Solution

The fourth proportional to 69,129.64, 103,698.78 and 22,387.24 is: 33,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,129.64 : 103,698.78 = 22,387.24 : x
  2. Step 2: Convert to fraction form
    69,129.64/103,698.78 = 22,387.24/x
  3. Step 3: Cross multiply
    69,129.64x = 103,698.78 × 22,387.24
  4. Step 4: Simplify right side
    69,129.64x = 2,321,529,475.57
  5. Step 5: Solve for x
    x = 2,321,529,475.57/69,129.64
  6. Step 6: Final answer
    x = 33,582.26

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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.