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Finding the Fourth Proportional to 201,838.50, 278,537.13 and 112,414.50

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Solution

The fourth proportional to 201,838.50, 278,537.13 and 112,414.50 is: 155,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838.50 : 278,537.13 = 112,414.50 : x
  2. Step 2: Convert to fraction form
    201,838.50/278,537.13 = 112,414.50/x
  3. Step 3: Cross multiply
    201,838.50x = 278,537.13 × 112,414.50
  4. Step 4: Simplify right side
    201,838.50x = 31,311,612,200.39
  5. Step 5: Solve for x
    x = 31,311,612,200.39/201,838.50
  6. Step 6: Final answer
    x = 155,132.01

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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.