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Finding the Fourth Proportional to 201,842.75, 278,543 and 112,418.75

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Solution

The fourth proportional to 201,842.75, 278,543 and 112,418.75 is: 155,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,842.75 : 278,543 = 112,418.75 : x
  2. Step 2: Convert to fraction form
    201,842.75/278,543 = 112,418.75/x
  3. Step 3: Cross multiply
    201,842.75x = 278,543 × 112,418.75
  4. Step 4: Simplify right side
    201,842.75x = 31,313,455,881.25
  5. Step 5: Solve for x
    x = 31,313,455,881.25/201,842.75
  6. Step 6: Final answer
    x = 155,137.88

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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.