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Finding the Fourth Proportional to 106,143.40, 159,215.10 and 68,745.70

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Solution

The fourth proportional to 106,143.40, 159,215.10 and 68,745.70 is: 103,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,143.40 : 159,215.10 = 68,745.70 : x
  2. Step 2: Convert to fraction form
    106,143.40/159,215.10 = 68,745.70/x
  3. Step 3: Cross multiply
    106,143.40x = 159,215.10 × 68,745.70
  4. Step 4: Simplify right side
    106,143.40x = 10,945,353,500.07
  5. Step 5: Solve for x
    x = 10,945,353,500.07/106,143.40
  6. Step 6: Final answer
    x = 103,118.55

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1.5x scale

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.