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Finding the Fourth Proportional to 217,134, 299,644.92 and 121,640.67

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Solution

The fourth proportional to 217,134, 299,644.92 and 121,640.67 is: 167,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,134 : 299,644.92 = 121,640.67 : x
  2. Step 2: Convert to fraction form
    217,134/299,644.92 = 121,640.67/x
  3. Step 3: Cross multiply
    217,134x = 299,644.92 × 121,640.67
  4. Step 4: Simplify right side
    217,134x = 36,449,008,830.90
  5. Step 5: Solve for x
    x = 36,449,008,830.90/217,134
  6. Step 6: Final answer
    x = 167,864.12

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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.