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Finding the Fourth Proportional to 205,105.77, 307,691.19 and 86,778

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Solution

The fourth proportional to 205,105.77, 307,691.19 and 86,778 is: 130,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,105.77 : 307,691.19 = 86,778 : x
  2. Step 2: Convert to fraction form
    205,105.77/307,691.19 = 86,778/x
  3. Step 3: Cross multiply
    205,105.77x = 307,691.19 × 86,778
  4. Step 4: Simplify right side
    205,105.77x = 26,700,826,085.82
  5. Step 5: Solve for x
    x = 26,700,826,085.82/205,105.77
  6. Step 6: Final answer
    x = 130,180.77

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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.