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Finding the Fourth Proportional to 71,171.81, 106,757.71 and 29,071.76

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Solution

The fourth proportional to 71,171.81, 106,757.71 and 29,071.76 is: 43,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,171.81 : 106,757.71 = 29,071.76 : x
  2. Step 2: Convert to fraction form
    71,171.81/106,757.71 = 29,071.76/x
  3. Step 3: Cross multiply
    71,171.81x = 106,757.71 × 29,071.76
  4. Step 4: Simplify right side
    71,171.81x = 3,103,633,916.80
  5. Step 5: Solve for x
    x = 3,103,633,916.80/71,171.81
  6. Step 6: Final answer
    x = 43,607.63

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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.