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Finding the Fourth Proportional to 69,149.42, 103,681.16 and 29,147.82

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Solution

The fourth proportional to 69,149.42, 103,681.16 and 29,147.82 is: 43,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,149.42 : 103,681.16 = 29,147.82 : x
  2. Step 2: Convert to fraction form
    69,149.42/103,681.16 = 29,147.82/x
  3. Step 3: Cross multiply
    69,149.42x = 103,681.16 × 29,147.82
  4. Step 4: Simplify right side
    69,149.42x = 3,022,079,789.07
  5. Step 5: Solve for x
    x = 3,022,079,789.07/69,149.42
  6. Step 6: Final answer
    x = 43,703.62

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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.