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Finding the Fourth Proportional to 205,876.62, 308,607.03 and 99,103.77

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Solution

The fourth proportional to 205,876.62, 308,607.03 and 99,103.77 is: 148,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,876.62 : 308,607.03 = 99,103.77 : x
  2. Step 2: Convert to fraction form
    205,876.62/308,607.03 = 99,103.77/x
  3. Step 3: Cross multiply
    205,876.62x = 308,607.03 × 99,103.77
  4. Step 4: Simplify right side
    205,876.62x = 30,584,120,121.50
  5. Step 5: Solve for x
    x = 30,584,120,121.50/205,876.62
  6. Step 6: Final answer
    x = 148,555.58

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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.