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Finding the Fourth Proportional to 71,086.32, 106,629.44 and 21,167.12

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Solution

The fourth proportional to 71,086.32, 106,629.44 and 21,167.12 is: 31,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,086.32 : 106,629.44 = 21,167.12 : x
  2. Step 2: Convert to fraction form
    71,086.32/106,629.44 = 21,167.12/x
  3. Step 3: Cross multiply
    71,086.32x = 106,629.44 × 21,167.12
  4. Step 4: Simplify right side
    71,086.32x = 2,257,038,152.01
  5. Step 5: Solve for x
    x = 2,257,038,152.01/71,086.32
  6. Step 6: Final answer
    x = 31,750.67

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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.