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Finding the Fourth Proportional to 71,106.53, 106,665.92 and 18,516.11

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Solution

The fourth proportional to 71,106.53, 106,665.92 and 18,516.11 is: 27,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,106.53 : 106,665.92 = 18,516.11 : x
  2. Step 2: Convert to fraction form
    71,106.53/106,665.92 = 18,516.11/x
  3. Step 3: Cross multiply
    71,106.53x = 106,665.92 × 18,516.11
  4. Step 4: Simplify right side
    71,106.53x = 1,975,037,907.97
  5. Step 5: Solve for x
    x = 1,975,037,907.97/71,106.53
  6. Step 6: Final answer
    x = 27,775.76

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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.