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Finding the Fourth Proportional to 205,759.71, 308,631.33 and 79,345.64

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Solution

The fourth proportional to 205,759.71, 308,631.33 and 79,345.64 is: 119,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,759.71 : 308,631.33 = 79,345.64 : x
  2. Step 2: Convert to fraction form
    205,759.71/308,631.33 = 79,345.64/x
  3. Step 3: Cross multiply
    205,759.71x = 308,631.33 × 79,345.64
  4. Step 4: Simplify right side
    205,759.71x = 24,488,551,174.48
  5. Step 5: Solve for x
    x = 24,488,551,174.48/205,759.71
  6. Step 6: Final answer
    x = 119,015.29

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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.