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Finding the Fourth Proportional to 203,486.52, 280,825.77 and 112,851.15

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Solution

The fourth proportional to 203,486.52, 280,825.77 and 112,851.15 is: 155,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486.52 : 280,825.77 = 112,851.15 : x
  2. Step 2: Convert to fraction form
    203,486.52/280,825.77 = 112,851.15/x
  3. Step 3: Cross multiply
    203,486.52x = 280,825.77 × 112,851.15
  4. Step 4: Simplify right side
    203,486.52x = 31,691,511,094.14
  5. Step 5: Solve for x
    x = 31,691,511,094.14/203,486.52
  6. Step 6: Final answer
    x = 155,742.56

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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.