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Finding the Fourth Proportional to 216,561.72, 298,857.30 and 121,073.64

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Solution

The fourth proportional to 216,561.72, 298,857.30 and 121,073.64 is: 167,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,561.72 : 298,857.30 = 121,073.64 : x
  2. Step 2: Convert to fraction form
    216,561.72/298,857.30 = 121,073.64/x
  3. Step 3: Cross multiply
    216,561.72x = 298,857.30 × 121,073.64
  4. Step 4: Simplify right side
    216,561.72x = 36,183,741,151.57
  5. Step 5: Solve for x
    x = 36,183,741,151.57/216,561.72
  6. Step 6: Final answer
    x = 167,082.81

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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.