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Finding the Fourth Proportional to 71,438.59, 107,175.71 and 50,419.70

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Solution

The fourth proportional to 71,438.59, 107,175.71 and 50,419.70 is: 75,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,438.59 : 107,175.71 = 50,419.70 : x
  2. Step 2: Convert to fraction form
    71,438.59/107,175.71 = 50,419.70/x
  3. Step 3: Cross multiply
    71,438.59x = 107,175.71 × 50,419.70
  4. Step 4: Simplify right side
    71,438.59x = 5,403,766,357.51
  5. Step 5: Solve for x
    x = 5,403,766,357.51/71,438.59
  6. Step 6: Final answer
    x = 75,642.12

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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.