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Finding the Fourth Proportional to 98,201.12, 135,512.88 and 55,754

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Solution

The fourth proportional to 98,201.12, 135,512.88 and 55,754 is: 76,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,201.12 : 135,512.88 = 55,754 : x
  2. Step 2: Convert to fraction form
    98,201.12/135,512.88 = 55,754/x
  3. Step 3: Cross multiply
    98,201.12x = 135,512.88 × 55,754
  4. Step 4: Simplify right side
    98,201.12x = 7,555,385,111.52
  5. Step 5: Solve for x
    x = 7,555,385,111.52/98,201.12
  6. Step 6: Final answer
    x = 76,937.87

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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.