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Finding the Fourth Proportional to 205,784.64, 308,688.96 and 79,425.54

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Solution

The fourth proportional to 205,784.64, 308,688.96 and 79,425.54 is: 119,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,784.64 : 308,688.96 = 79,425.54 : x
  2. Step 2: Convert to fraction form
    205,784.64/308,688.96 = 79,425.54/x
  3. Step 3: Cross multiply
    205,784.64x = 308,688.96 × 79,425.54
  4. Step 4: Simplify right side
    205,784.64x = 24,517,787,340.04
  5. Step 5: Solve for x
    x = 24,517,787,340.04/205,784.64
  6. Step 6: Final answer
    x = 119,142.94

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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.