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Finding the Fourth Proportional to 201,910, 278,641.56 and 112,491.76

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Solution

The fourth proportional to 201,910, 278,641.56 and 112,491.76 is: 155,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,910 : 278,641.56 = 112,491.76 : x
  2. Step 2: Convert to fraction form
    201,910/278,641.56 = 112,491.76/x
  3. Step 3: Cross multiply
    201,910x = 278,641.56 × 112,491.76
  4. Step 4: Simplify right side
    201,910x = 31,344,879,493.55
  5. Step 5: Solve for x
    x = 31,344,879,493.55/201,910
  6. Step 6: Final answer
    x = 155,241.84

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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.