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Finding the Fourth Proportional to 137,955.30, 206,823.60 and 75,625.80

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Solution

The fourth proportional to 137,955.30, 206,823.60 and 75,625.80 is: 113,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,955.30 : 206,823.60 = 75,625.80 : x
  2. Step 2: Convert to fraction form
    137,955.30/206,823.60 = 75,625.80/x
  3. Step 3: Cross multiply
    137,955.30x = 206,823.60 × 75,625.80
  4. Step 4: Simplify right side
    137,955.30x = 15,641,200,208.88
  5. Step 5: Solve for x
    x = 15,641,200,208.88/137,955.30
  6. Step 6: Final answer
    x = 113,378.76

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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.