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Finding the Fourth Proportional to 140,121.92, 210,176.99 and 65,216.30

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Solution

The fourth proportional to 140,121.92, 210,176.99 and 65,216.30 is: 97,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,121.92 : 210,176.99 = 65,216.30 : x
  2. Step 2: Convert to fraction form
    140,121.92/210,176.99 = 65,216.30/x
  3. Step 3: Cross multiply
    140,121.92x = 210,176.99 × 65,216.30
  4. Step 4: Simplify right side
    140,121.92x = 13,706,964,745.09
  5. Step 5: Solve for x
    x = 13,706,964,745.09/140,121.92
  6. Step 6: Final answer
    x = 97,821.71

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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.