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Finding the Fourth Proportional to 202,242.72, 279,092.96 and 111,599.52

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Solution

The fourth proportional to 202,242.72, 279,092.96 and 111,599.52 is: 154,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,242.72 : 279,092.96 = 111,599.52 : x
  2. Step 2: Convert to fraction form
    202,242.72/279,092.96 = 111,599.52/x
  3. Step 3: Cross multiply
    202,242.72x = 279,092.96 × 111,599.52
  4. Step 4: Simplify right side
    202,242.72x = 31,146,640,371.38
  5. Step 5: Solve for x
    x = 31,146,640,371.38/202,242.72
  6. Step 6: Final answer
    x = 154,006.24

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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.