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Finding the Fourth Proportional to 71,185.17, 106,807.22 and 31,183.49

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Solution

The fourth proportional to 71,185.17, 106,807.22 and 31,183.49 is: 46,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,185.17 : 106,807.22 = 31,183.49 : x
  2. Step 2: Convert to fraction form
    71,185.17/106,807.22 = 31,183.49/x
  3. Step 3: Cross multiply
    71,185.17x = 106,807.22 × 31,183.49
  4. Step 4: Simplify right side
    71,185.17x = 3,330,621,420.72
  5. Step 5: Solve for x
    x = 3,330,621,420.72/71,185.17
  6. Step 6: Final answer
    x = 46,788.14

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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.