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Finding the Fourth Proportional to 71,202.40, 106,717.20 and 31,717.60

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Solution

The fourth proportional to 71,202.40, 106,717.20 and 31,717.60 is: 47,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202.40 : 106,717.20 = 31,717.60 : x
  2. Step 2: Convert to fraction form
    71,202.40/106,717.20 = 31,717.60/x
  3. Step 3: Cross multiply
    71,202.40x = 106,717.20 × 31,717.60
  4. Step 4: Simplify right side
    71,202.40x = 3,384,813,462.72
  5. Step 5: Solve for x
    x = 3,384,813,462.72/71,202.40
  6. Step 6: Final answer
    x = 47,537.91

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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.