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Finding the Fourth Proportional to 205,787.86, 308,693.74 and 79,428.82

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Solution

The fourth proportional to 205,787.86, 308,693.74 and 79,428.82 is: 119,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,787.86 : 308,693.74 = 79,428.82 : x
  2. Step 2: Convert to fraction form
    205,787.86/308,693.74 = 79,428.82/x
  3. Step 3: Cross multiply
    205,787.86x = 308,693.74 × 79,428.82
  4. Step 4: Simplify right side
    205,787.86x = 24,519,179,509.59
  5. Step 5: Solve for x
    x = 24,519,179,509.59/205,787.86
  6. Step 6: Final answer
    x = 119,147.84

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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.