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Finding the Fourth Proportional to 202,705.78, 279,758.31 and 117,822.86

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Solution

The fourth proportional to 202,705.78, 279,758.31 and 117,822.86 is: 162,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,705.78 : 279,758.31 = 117,822.86 : x
  2. Step 2: Convert to fraction form
    202,705.78/279,758.31 = 117,822.86/x
  3. Step 3: Cross multiply
    202,705.78x = 279,758.31 × 117,822.86
  4. Step 4: Simplify right side
    202,705.78x = 32,961,924,192.97
  5. Step 5: Solve for x
    x = 32,961,924,192.97/202,705.78
  6. Step 6: Final answer
    x = 162,609.69

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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.