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Finding the Fourth Proportional to 205,878.92, 308,830.62 and 79,520.12

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Solution

The fourth proportional to 205,878.92, 308,830.62 and 79,520.12 is: 119,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,878.92 : 308,830.62 = 79,520.12 : x
  2. Step 2: Convert to fraction form
    205,878.92/308,830.62 = 79,520.12/x
  3. Step 3: Cross multiply
    205,878.92x = 308,830.62 × 79,520.12
  4. Step 4: Simplify right side
    205,878.92x = 24,558,247,962.07
  5. Step 5: Solve for x
    x = 24,558,247,962.07/205,878.92
  6. Step 6: Final answer
    x = 119,284.91

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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.