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Finding the Fourth Proportional to 135,963, 187,600.50 and 82,237.50

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Solution

The fourth proportional to 135,963, 187,600.50 and 82,237.50 is: 113,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,963 : 187,600.50 = 82,237.50 : x
  2. Step 2: Convert to fraction form
    135,963/187,600.50 = 82,237.50/x
  3. Step 3: Cross multiply
    135,963x = 187,600.50 × 82,237.50
  4. Step 4: Simplify right side
    135,963x = 15,427,796,118.75
  5. Step 5: Solve for x
    x = 15,427,796,118.75/135,963
  6. Step 6: Final answer
    x = 113,470.55

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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.