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Finding the Fourth Proportional to 203,468.52, 280,789.92 and 112,828.32

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Solution

The fourth proportional to 203,468.52, 280,789.92 and 112,828.32 is: 155,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,468.52 : 280,789.92 = 112,828.32 : x
  2. Step 2: Convert to fraction form
    203,468.52/280,789.92 = 112,828.32/x
  3. Step 3: Cross multiply
    203,468.52x = 280,789.92 × 112,828.32
  4. Step 4: Simplify right side
    203,468.52x = 31,681,054,946.53
  5. Step 5: Solve for x
    x = 31,681,054,946.53/203,468.52
  6. Step 6: Final answer
    x = 155,704.95

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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.