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Finding the Fourth Proportional to 70,894.74, 106,351.83 and 31,450.98

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Solution

The fourth proportional to 70,894.74, 106,351.83 and 31,450.98 is: 47,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.74 : 106,351.83 = 31,450.98 : x
  2. Step 2: Convert to fraction form
    70,894.74/106,351.83 = 31,450.98/x
  3. Step 3: Cross multiply
    70,894.74x = 106,351.83 × 31,450.98
  4. Step 4: Simplify right side
    70,894.74x = 3,344,868,589.28
  5. Step 5: Solve for x
    x = 3,344,868,589.28/70,894.74
  6. Step 6: Final answer
    x = 47,180.78

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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.