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Finding the Fourth Proportional to 201,538, 278,122.71 and 112,114

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Solution

The fourth proportional to 201,538, 278,122.71 and 112,114 is: 154,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538 : 278,122.71 = 112,114 : x
  2. Step 2: Convert to fraction form
    201,538/278,122.71 = 112,114/x
  3. Step 3: Cross multiply
    201,538x = 278,122.71 × 112,114
  4. Step 4: Simplify right side
    201,538x = 31,181,449,508.94
  5. Step 5: Solve for x
    x = 31,181,449,508.94/201,538
  6. Step 6: Final answer
    x = 154,717.47

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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.