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Finding the Fourth Proportional to 203,256, 280,493.28 and 113,832

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Solution

The fourth proportional to 203,256, 280,493.28 and 113,832 is: 157,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,256 : 280,493.28 = 113,832 : x
  2. Step 2: Convert to fraction form
    203,256/280,493.28 = 113,832/x
  3. Step 3: Cross multiply
    203,256x = 280,493.28 × 113,832
  4. Step 4: Simplify right side
    203,256x = 31,929,111,048.96
  5. Step 5: Solve for x
    x = 31,929,111,048.96/203,256
  6. Step 6: Final answer
    x = 157,088.16

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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.