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Finding the Fourth Proportional to 202,205, 279,042.90 and 112,781

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Solution

The fourth proportional to 202,205, 279,042.90 and 112,781 is: 155,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,205 : 279,042.90 = 112,781 : x
  2. Step 2: Convert to fraction form
    202,205/279,042.90 = 112,781/x
  3. Step 3: Cross multiply
    202,205x = 279,042.90 × 112,781
  4. Step 4: Simplify right side
    202,205x = 31,470,737,304.90
  5. Step 5: Solve for x
    x = 31,470,737,304.90/202,205
  6. Step 6: Final answer
    x = 155,637.78

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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.