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Finding the Fourth Proportional to 73,129.42, 109,737.96 and 31,576.42

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Solution

The fourth proportional to 73,129.42, 109,737.96 and 31,576.42 is: 47,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,129.42 : 109,737.96 = 31,576.42 : x
  2. Step 2: Convert to fraction form
    73,129.42/109,737.96 = 31,576.42/x
  3. Step 3: Cross multiply
    73,129.42x = 109,737.96 × 31,576.42
  4. Step 4: Simplify right side
    73,129.42x = 3,465,131,914.90
  5. Step 5: Solve for x
    x = 3,465,131,914.90/73,129.42
  6. Step 6: Final answer
    x = 47,383.56

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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.