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Finding the Fourth Proportional to 71,139.56, 106,709.34 and 18,548.90

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Solution

The fourth proportional to 71,139.56, 106,709.34 and 18,548.90 is: 27,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,139.56 : 106,709.34 = 18,548.90 : x
  2. Step 2: Convert to fraction form
    71,139.56/106,709.34 = 18,548.90/x
  3. Step 3: Cross multiply
    71,139.56x = 106,709.34 × 18,548.90
  4. Step 4: Simplify right side
    71,139.56x = 1,979,340,343.18
  5. Step 5: Solve for x
    x = 1,979,340,343.18/71,139.56
  6. Step 6: Final answer
    x = 27,823.34

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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.