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Finding the Fourth Proportional to 204,957.12, 307,451.52 and 78,657.84

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Solution

The fourth proportional to 204,957.12, 307,451.52 and 78,657.84 is: 117,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,957.12 : 307,451.52 = 78,657.84 : x
  2. Step 2: Convert to fraction form
    204,957.12/307,451.52 = 78,657.84/x
  3. Step 3: Cross multiply
    204,957.12x = 307,451.52 × 78,657.84
  4. Step 4: Simplify right side
    204,957.12x = 24,183,472,467.92
  5. Step 5: Solve for x
    x = 24,183,472,467.92/204,957.12
  6. Step 6: Final answer
    x = 117,992.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.