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Finding the Fourth Proportional to 135,315.40, 202,665.90 and 80,019.40

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Solution

The fourth proportional to 135,315.40, 202,665.90 and 80,019.40 is: 119,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,315.40 : 202,665.90 = 80,019.40 : x
  2. Step 2: Convert to fraction form
    135,315.40/202,665.90 = 80,019.40/x
  3. Step 3: Cross multiply
    135,315.40x = 202,665.90 × 80,019.40
  4. Step 4: Simplify right side
    135,315.40x = 16,217,203,718.46
  5. Step 5: Solve for x
    x = 16,217,203,718.46/135,315.40
  6. Step 6: Final answer
    x = 119,847.44

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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.