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Finding the Fourth Proportional to 69,147.16, 103,727.16 and 53,582.20

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Solution

The fourth proportional to 69,147.16, 103,727.16 and 53,582.20 is: 80,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,147.16 : 103,727.16 = 53,582.20 : x
  2. Step 2: Convert to fraction form
    69,147.16/103,727.16 = 53,582.20/x
  3. Step 3: Cross multiply
    69,147.16x = 103,727.16 × 53,582.20
  4. Step 4: Simplify right side
    69,147.16x = 5,557,929,432.55
  5. Step 5: Solve for x
    x = 5,557,929,432.55/69,147.16
  6. Step 6: Final answer
    x = 80,378.27

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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.