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Finding the Fourth Proportional to 206,216, 284,573.24 and 121,338.56

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Solution

The fourth proportional to 206,216, 284,573.24 and 121,338.56 is: 167,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,216 : 284,573.24 = 121,338.56 : x
  2. Step 2: Convert to fraction form
    206,216/284,573.24 = 121,338.56/x
  3. Step 3: Cross multiply
    206,216x = 284,573.24 × 121,338.56
  4. Step 4: Simplify right side
    206,216x = 34,529,707,156.13
  5. Step 5: Solve for x
    x = 34,529,707,156.13/206,216
  6. Step 6: Final answer
    x = 167,444.36

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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.