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Finding the Fourth Proportional to 211,954.82, 292,496.82 and 121,310.42

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Solution

The fourth proportional to 211,954.82, 292,496.82 and 121,310.42 is: 167,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,954.82 : 292,496.82 = 121,310.42 : x
  2. Step 2: Convert to fraction form
    211,954.82/292,496.82 = 121,310.42/x
  3. Step 3: Cross multiply
    211,954.82x = 292,496.82 × 121,310.42
  4. Step 4: Simplify right side
    211,954.82x = 35,482,912,082.86
  5. Step 5: Solve for x
    x = 35,482,912,082.86/211,954.82
  6. Step 6: Final answer
    x = 167,407.90

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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.