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Finding the Fourth Proportional to 205,784.87, 308,689.25 and 79,425.81

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Solution

The fourth proportional to 205,784.87, 308,689.25 and 79,425.81 is: 119,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,784.87 : 308,689.25 = 79,425.81 : x
  2. Step 2: Convert to fraction form
    205,784.87/308,689.25 = 79,425.81/x
  3. Step 3: Cross multiply
    205,784.87x = 308,689.25 × 79,425.81
  4. Step 4: Simplify right side
    205,784.87x = 24,517,893,322.41
  5. Step 5: Solve for x
    x = 24,517,893,322.41/205,784.87
  6. Step 6: Final answer
    x = 119,143.33

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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.