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Finding the Fourth Proportional to 69,147.25, 103,736.48 and 21,120.16

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Solution

The fourth proportional to 69,147.25, 103,736.48 and 21,120.16 is: 31,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,147.25 : 103,736.48 = 21,120.16 : x
  2. Step 2: Convert to fraction form
    69,147.25/103,736.48 = 21,120.16/x
  3. Step 3: Cross multiply
    69,147.25x = 103,736.48 × 21,120.16
  4. Step 4: Simplify right side
    69,147.25x = 2,190,930,690.49
  5. Step 5: Solve for x
    x = 2,190,930,690.49/69,147.25
  6. Step 6: Final answer
    x = 31,685.00

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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.