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Finding the Fourth Proportional to 71,759.42, 107,653.66 and 40,214.48

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Solution

The fourth proportional to 71,759.42, 107,653.66 and 40,214.48 is: 60,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,759.42 : 107,653.66 = 40,214.48 : x
  2. Step 2: Convert to fraction form
    71,759.42/107,653.66 = 40,214.48/x
  3. Step 3: Cross multiply
    71,759.42x = 107,653.66 × 40,214.48
  4. Step 4: Simplify right side
    71,759.42x = 4,329,235,318.19
  5. Step 5: Solve for x
    x = 4,329,235,318.19/71,759.42
  6. Step 6: Final answer
    x = 60,329.85

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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.