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Finding the Fourth Proportional to 202,203.96, 279,042.42 and 111,561

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Solution

The fourth proportional to 202,203.96, 279,042.42 and 111,561 is: 153,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,203.96 : 279,042.42 = 111,561 : x
  2. Step 2: Convert to fraction form
    202,203.96/279,042.42 = 111,561/x
  3. Step 3: Cross multiply
    202,203.96x = 279,042.42 × 111,561
  4. Step 4: Simplify right side
    202,203.96x = 31,130,251,417.62
  5. Step 5: Solve for x
    x = 31,130,251,417.62/202,203.96
  6. Step 6: Final answer
    x = 153,954.71

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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.