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Finding the Fourth Proportional to 69,074, 103,613.24 and 19,154.64

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Solution

The fourth proportional to 69,074, 103,613.24 and 19,154.64 is: 28,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,074 : 103,613.24 = 19,154.64 : x
  2. Step 2: Convert to fraction form
    69,074/103,613.24 = 19,154.64/x
  3. Step 3: Cross multiply
    69,074x = 103,613.24 × 19,154.64
  4. Step 4: Simplify right side
    69,074x = 1,984,674,311.43
  5. Step 5: Solve for x
    x = 1,984,674,311.43/69,074
  6. Step 6: Final answer
    x = 28,732.58

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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.