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Finding the Fourth Proportional to 71,266.56, 106,902.72 and 31,816.32

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Solution

The fourth proportional to 71,266.56, 106,902.72 and 31,816.32 is: 47,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,266.56 : 106,902.72 = 31,816.32 : x
  2. Step 2: Convert to fraction form
    71,266.56/106,902.72 = 31,816.32/x
  3. Step 3: Cross multiply
    71,266.56x = 106,902.72 × 31,816.32
  4. Step 4: Simplify right side
    71,266.56x = 3,401,251,148.39
  5. Step 5: Solve for x
    x = 3,401,251,148.39/71,266.56
  6. Step 6: Final answer
    x = 47,725.77

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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.