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Finding the Fourth Proportional to 98,381.97, 135,766.48 and 55,940.50

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Solution

The fourth proportional to 98,381.97, 135,766.48 and 55,940.50 is: 77,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,381.97 : 135,766.48 = 55,940.50 : x
  2. Step 2: Convert to fraction form
    98,381.97/135,766.48 = 55,940.50/x
  3. Step 3: Cross multiply
    98,381.97x = 135,766.48 × 55,940.50
  4. Step 4: Simplify right side
    98,381.97x = 7,594,844,774.44
  5. Step 5: Solve for x
    x = 7,594,844,774.44/98,381.97
  6. Step 6: Final answer
    x = 77,197.53

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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.