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Finding the Fourth Proportional to 203,505.64, 280,840.10 and 112,863.40

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Solution

The fourth proportional to 203,505.64, 280,840.10 and 112,863.40 is: 155,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,505.64 : 280,840.10 = 112,863.40 : x
  2. Step 2: Convert to fraction form
    203,505.64/280,840.10 = 112,863.40/x
  3. Step 3: Cross multiply
    203,505.64x = 280,840.10 × 112,863.40
  4. Step 4: Simplify right side
    203,505.64x = 31,696,568,542.34
  5. Step 5: Solve for x
    x = 31,696,568,542.34/203,505.64
  6. Step 6: Final answer
    x = 155,752.78

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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.