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Finding the Fourth Proportional to 205,107.77, 307,694.19 and 86,780

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Solution

The fourth proportional to 205,107.77, 307,694.19 and 86,780 is: 130,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,107.77 : 307,694.19 = 86,780 : x
  2. Step 2: Convert to fraction form
    205,107.77/307,694.19 = 86,780/x
  3. Step 3: Cross multiply
    205,107.77x = 307,694.19 × 86,780
  4. Step 4: Simplify right side
    205,107.77x = 26,701,701,808.20
  5. Step 5: Solve for x
    x = 26,701,701,808.20/205,107.77
  6. Step 6: Final answer
    x = 130,183.77

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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.