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Finding the Fourth Proportional to 201,687.44, 278,325.96 and 112,263.44

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Solution

The fourth proportional to 201,687.44, 278,325.96 and 112,263.44 is: 154,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,687.44 : 278,325.96 = 112,263.44 : x
  2. Step 2: Convert to fraction form
    201,687.44/278,325.96 = 112,263.44/x
  3. Step 3: Cross multiply
    201,687.44x = 278,325.96 × 112,263.44
  4. Step 4: Simplify right side
    201,687.44x = 31,245,829,710.90
  5. Step 5: Solve for x
    x = 31,245,829,710.90/201,687.44
  6. Step 6: Final answer
    x = 154,922.04

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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.