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Finding the Fourth Proportional to 206,353.32, 284,779.44 and 115,738.35

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Solution

The fourth proportional to 206,353.32, 284,779.44 and 115,738.35 is: 159,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,353.32 : 284,779.44 = 115,738.35 : x
  2. Step 2: Convert to fraction form
    206,353.32/284,779.44 = 115,738.35/x
  3. Step 3: Cross multiply
    206,353.32x = 284,779.44 × 115,738.35
  4. Step 4: Simplify right side
    206,353.32x = 32,959,902,499.52
  5. Step 5: Solve for x
    x = 32,959,902,499.52/206,353.32
  6. Step 6: Final answer
    x = 159,725.57

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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.