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Finding the Fourth Proportional to 201,906.75, 278,637.08 and 112,488.51

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Solution

The fourth proportional to 201,906.75, 278,637.08 and 112,488.51 is: 155,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.75 : 278,637.08 = 112,488.51 : x
  2. Step 2: Convert to fraction form
    201,906.75/278,637.08 = 112,488.51/x
  3. Step 3: Cross multiply
    201,906.75x = 278,637.08 × 112,488.51
  4. Step 4: Simplify right side
    201,906.75x = 31,343,469,959.95
  5. Step 5: Solve for x
    x = 31,343,469,959.95/201,906.75
  6. Step 6: Final answer
    x = 155,237.36

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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.