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Finding the Fourth Proportional to 203,514, 280,839.52 and 112,862.88

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Solution

The fourth proportional to 203,514, 280,839.52 and 112,862.88 is: 155,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,514 : 280,839.52 = 112,862.88 : x
  2. Step 2: Convert to fraction form
    203,514/280,839.52 = 112,862.88/x
  3. Step 3: Cross multiply
    203,514x = 280,839.52 × 112,862.88
  4. Step 4: Simplify right side
    203,514x = 31,696,357,045.02
  5. Step 5: Solve for x
    x = 31,696,357,045.02/203,514
  6. Step 6: Final answer
    x = 155,745.34

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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.