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Finding the Fourth Proportional to 217,707.64, 300,446.51 and 120,911.88

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Solution

The fourth proportional to 217,707.64, 300,446.51 and 120,911.88 is: 166,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,707.64 : 300,446.51 = 120,911.88 : x
  2. Step 2: Convert to fraction form
    217,707.64/300,446.51 = 120,911.88/x
  3. Step 3: Cross multiply
    217,707.64x = 300,446.51 × 120,911.88
  4. Step 4: Simplify right side
    217,707.64x = 36,327,552,363.54
  5. Step 5: Solve for x
    x = 36,327,552,363.54/217,707.64
  6. Step 6: Final answer
    x = 166,863.93

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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.