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Finding the Fourth Proportional to 71,268.56, 106,905.72 and 31,818.32

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Solution

The fourth proportional to 71,268.56, 106,905.72 and 31,818.32 is: 47,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,268.56 : 106,905.72 = 31,818.32 : x
  2. Step 2: Convert to fraction form
    71,268.56/106,905.72 = 31,818.32/x
  3. Step 3: Cross multiply
    71,268.56x = 106,905.72 × 31,818.32
  4. Step 4: Simplify right side
    71,268.56x = 3,401,560,408.79
  5. Step 5: Solve for x
    x = 3,401,560,408.79/71,268.56
  6. Step 6: Final answer
    x = 47,728.77

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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.