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Finding the Fourth Proportional to 206,168.54, 284,507.76 and 121,291.06

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Solution

The fourth proportional to 206,168.54, 284,507.76 and 121,291.06 is: 167,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,168.54 : 284,507.76 = 121,291.06 : x
  2. Step 2: Convert to fraction form
    206,168.54/284,507.76 = 121,291.06/x
  3. Step 3: Cross multiply
    206,168.54x = 284,507.76 × 121,291.06
  4. Step 4: Simplify right side
    206,168.54x = 34,508,247,788.63
  5. Step 5: Solve for x
    x = 34,508,247,788.63/206,168.54
  6. Step 6: Final answer
    x = 167,378.82

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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.