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Finding the Fourth Proportional to 203,498.44, 280,830.36 and 112,855.66

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Solution

The fourth proportional to 203,498.44, 280,830.36 and 112,855.66 is: 155,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,498.44 : 280,830.36 = 112,855.66 : x
  2. Step 2: Convert to fraction form
    203,498.44/280,830.36 = 112,855.66/x
  3. Step 3: Cross multiply
    203,498.44x = 280,830.36 × 112,855.66
  4. Step 4: Simplify right side
    203,498.44x = 31,693,295,625.84
  5. Step 5: Solve for x
    x = 31,693,295,625.84/203,498.44
  6. Step 6: Final answer
    x = 155,742.20

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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.