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Finding the Fourth Proportional to 198,270, 273,609.90 and 107,626.14

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Solution

The fourth proportional to 198,270, 273,609.90 and 107,626.14 is: 148,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,270 : 273,609.90 = 107,626.14 : x
  2. Step 2: Convert to fraction form
    198,270/273,609.90 = 107,626.14/x
  3. Step 3: Cross multiply
    198,270x = 273,609.90 × 107,626.14
  4. Step 4: Simplify right side
    198,270x = 29,447,577,402.79
  5. Step 5: Solve for x
    x = 29,447,577,402.79/198,270
  6. Step 6: Final answer
    x = 148,522.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.