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Finding the Fourth Proportional to 203,115.60, 280,007.42 and 142,498.44

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Solution

The fourth proportional to 203,115.60, 280,007.42 and 142,498.44 is: 196,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,115.60 : 280,007.42 = 142,498.44 : x
  2. Step 2: Convert to fraction form
    203,115.60/280,007.42 = 142,498.44/x
  3. Step 3: Cross multiply
    203,115.60x = 280,007.42 × 142,498.44
  4. Step 4: Simplify right side
    203,115.60x = 39,900,619,825.93
  5. Step 5: Solve for x
    x = 39,900,619,825.93/203,115.60
  6. Step 6: Final answer
    x = 196,442.91

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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.