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Finding the Fourth Proportional to 202,951.53, 280,087.17 and 112,311.30

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Solution

The fourth proportional to 202,951.53, 280,087.17 and 112,311.30 is: 154,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,951.53 : 280,087.17 = 112,311.30 : x
  2. Step 2: Convert to fraction form
    202,951.53/280,087.17 = 112,311.30/x
  3. Step 3: Cross multiply
    202,951.53x = 280,087.17 × 112,311.30
  4. Step 4: Simplify right side
    202,951.53x = 31,456,954,176.02
  5. Step 5: Solve for x
    x = 31,456,954,176.02/202,951.53
  6. Step 6: Final answer
    x = 154,997.37

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1.5x scale

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.