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Finding the Fourth Proportional to 71,071.90, 106,595 and 18,478.14

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Solution

The fourth proportional to 71,071.90, 106,595 and 18,478.14 is: 27,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,071.90 : 106,595 = 18,478.14 : x
  2. Step 2: Convert to fraction form
    71,071.90/106,595 = 18,478.14/x
  3. Step 3: Cross multiply
    71,071.90x = 106,595 × 18,478.14
  4. Step 4: Simplify right side
    71,071.90x = 1,969,677,333.30
  5. Step 5: Solve for x
    x = 1,969,677,333.30/71,071.90
  6. Step 6: Final answer
    x = 27,713.87

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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.