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Finding the Fourth Proportional to 206,422.88, 284,840.80 and 115,760.19

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Solution

The fourth proportional to 206,422.88, 284,840.80 and 115,760.19 is: 159,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,422.88 : 284,840.80 = 115,760.19 : x
  2. Step 2: Convert to fraction form
    206,422.88/284,840.80 = 115,760.19/x
  3. Step 3: Cross multiply
    206,422.88x = 284,840.80 × 115,760.19
  4. Step 4: Simplify right side
    206,422.88x = 32,973,224,955.43
  5. Step 5: Solve for x
    x = 32,973,224,955.43/206,422.88
  6. Step 6: Final answer
    x = 159,736.29

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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.