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Finding the Fourth Proportional to 213,910.75, 295,396.86 and 137,562.43

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Solution

The fourth proportional to 213,910.75, 295,396.86 and 137,562.43 is: 189,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,910.75 : 295,396.86 = 137,562.43 : x
  2. Step 2: Convert to fraction form
    213,910.75/295,396.86 = 137,562.43/x
  3. Step 3: Cross multiply
    213,910.75x = 295,396.86 × 137,562.43
  4. Step 4: Simplify right side
    213,910.75x = 40,635,509,875.97
  5. Step 5: Solve for x
    x = 40,635,509,875.97/213,910.75
  6. Step 6: Final answer
    x = 189,964.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.