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Finding the Fourth Proportional to 205,454.92, 308,280.12 and 142,372.12

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Solution

The fourth proportional to 205,454.92, 308,280.12 and 142,372.12 is: 213,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,454.92 : 308,280.12 = 142,372.12 : x
  2. Step 2: Convert to fraction form
    205,454.92/308,280.12 = 142,372.12/x
  3. Step 3: Cross multiply
    205,454.92x = 308,280.12 × 142,372.12
  4. Step 4: Simplify right side
    205,454.92x = 43,890,494,238.25
  5. Step 5: Solve for x
    x = 43,890,494,238.25/205,454.92
  6. Step 6: Final answer
    x = 213,625.91

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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.