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Finding the Fourth Proportional to 203,410.76, 280,706.81 and 112,766.49

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Solution

The fourth proportional to 203,410.76, 280,706.81 and 112,766.49 is: 155,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,410.76 : 280,706.81 = 112,766.49 : x
  2. Step 2: Convert to fraction form
    203,410.76/280,706.81 = 112,766.49/x
  3. Step 3: Cross multiply
    203,410.76x = 280,706.81 × 112,766.49
  4. Step 4: Simplify right side
    203,410.76x = 31,654,321,682.80
  5. Step 5: Solve for x
    x = 31,654,321,682.80/203,410.76
  6. Step 6: Final answer
    x = 155,617.73

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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.