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Finding the Fourth Proportional to 70,974.70, 106,466.91 and 18,389.50

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Solution

The fourth proportional to 70,974.70, 106,466.91 and 18,389.50 is: 27,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,974.70 : 106,466.91 = 18,389.50 : x
  2. Step 2: Convert to fraction form
    70,974.70/106,466.91 = 18,389.50/x
  3. Step 3: Cross multiply
    70,974.70x = 106,466.91 × 18,389.50
  4. Step 4: Simplify right side
    70,974.70x = 1,957,873,241.45
  5. Step 5: Solve for x
    x = 1,957,873,241.45/70,974.70
  6. Step 6: Final answer
    x = 27,585.51

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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.