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Finding the Fourth Proportional to 205,792.37, 308,679.27 and 85,799.88

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Solution

The fourth proportional to 205,792.37, 308,679.27 and 85,799.88 is: 128,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,792.37 : 308,679.27 = 85,799.88 : x
  2. Step 2: Convert to fraction form
    205,792.37/308,679.27 = 85,799.88/x
  3. Step 3: Cross multiply
    205,792.37x = 308,679.27 × 85,799.88
  4. Step 4: Simplify right side
    205,792.37x = 26,484,644,324.49
  5. Step 5: Solve for x
    x = 26,484,644,324.49/205,792.37
  6. Step 6: Final answer
    x = 128,695.95

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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.