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Finding the Fourth Proportional to 205,348.30, 308,022.27 and 77,288.51

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Solution

The fourth proportional to 205,348.30, 308,022.27 and 77,288.51 is: 115,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,348.30 : 308,022.27 = 77,288.51 : x
  2. Step 2: Convert to fraction form
    205,348.30/308,022.27 = 77,288.51/x
  3. Step 3: Cross multiply
    205,348.30x = 308,022.27 × 77,288.51
  4. Step 4: Simplify right side
    205,348.30x = 23,806,583,355.01
  5. Step 5: Solve for x
    x = 23,806,583,355.01/205,348.30
  6. Step 6: Final answer
    x = 115,932.70

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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.