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Finding the Fourth Proportional to 70,613.28, 105,978.24 and 29,089.44

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Solution

The fourth proportional to 70,613.28, 105,978.24 and 29,089.44 is: 43,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,613.28 : 105,978.24 = 29,089.44 : x
  2. Step 2: Convert to fraction form
    70,613.28/105,978.24 = 29,089.44/x
  3. Step 3: Cross multiply
    70,613.28x = 105,978.24 × 29,089.44
  4. Step 4: Simplify right side
    70,613.28x = 3,082,847,653.79
  5. Step 5: Solve for x
    x = 3,082,847,653.79/70,613.28
  6. Step 6: Final answer
    x = 43,658.19

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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.