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Finding the Fourth Proportional to 137,387.76, 205,731.72 and 67,083

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Solution

The fourth proportional to 137,387.76, 205,731.72 and 67,083 is: 100,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,387.76 : 205,731.72 = 67,083 : x
  2. Step 2: Convert to fraction form
    137,387.76/205,731.72 = 67,083/x
  3. Step 3: Cross multiply
    137,387.76x = 205,731.72 × 67,083
  4. Step 4: Simplify right side
    137,387.76x = 13,801,100,972.76
  5. Step 5: Solve for x
    x = 13,801,100,972.76/137,387.76
  6. Step 6: Final answer
    x = 100,453.64

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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.