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Finding the Fourth Proportional to 205,699.20, 283,891.18 and 115,060.20

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Solution

The fourth proportional to 205,699.20, 283,891.18 and 115,060.20 is: 158,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,699.20 : 283,891.18 = 115,060.20 : x
  2. Step 2: Convert to fraction form
    205,699.20/283,891.18 = 115,060.20/x
  3. Step 3: Cross multiply
    205,699.20x = 283,891.18 × 115,060.20
  4. Step 4: Simplify right side
    205,699.20x = 32,664,574,812.53
  5. Step 5: Solve for x
    x = 32,664,574,812.53/205,699.20
  6. Step 6: Final answer
    x = 158,797.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.