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Finding the Fourth Proportional to 203,462.06, 280,774.74 and 112,818.20

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Solution

The fourth proportional to 203,462.06, 280,774.74 and 112,818.20 is: 155,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,462.06 : 280,774.74 = 112,818.20 : x
  2. Step 2: Convert to fraction form
    203,462.06/280,774.74 = 112,818.20/x
  3. Step 3: Cross multiply
    203,462.06x = 280,774.74 × 112,818.20
  4. Step 4: Simplify right side
    203,462.06x = 31,676,500,772.27
  5. Step 5: Solve for x
    x = 31,676,500,772.27/203,462.06
  6. Step 6: Final answer
    x = 155,687.51

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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.