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Finding the Fourth Proportional to 202,383.78, 279,268.41 and 117,484.26

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Solution

The fourth proportional to 202,383.78, 279,268.41 and 117,484.26 is: 162,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,383.78 : 279,268.41 = 117,484.26 : x
  2. Step 2: Convert to fraction form
    202,383.78/279,268.41 = 117,484.26/x
  3. Step 3: Cross multiply
    202,383.78x = 279,268.41 × 117,484.26
  4. Step 4: Simplify right side
    202,383.78x = 32,809,642,490.23
  5. Step 5: Solve for x
    x = 32,809,642,490.23/202,383.78
  6. Step 6: Final answer
    x = 162,115.97

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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.