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Finding the Fourth Proportional to 98,328, 135,704.22 and 55,892.88

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Solution

The fourth proportional to 98,328, 135,704.22 and 55,892.88 is: 77,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,328 : 135,704.22 = 55,892.88 : x
  2. Step 2: Convert to fraction form
    98,328/135,704.22 = 55,892.88/x
  3. Step 3: Cross multiply
    98,328x = 135,704.22 × 55,892.88
  4. Step 4: Simplify right side
    98,328x = 7,584,899,683.95
  5. Step 5: Solve for x
    x = 7,584,899,683.95/98,328
  6. Step 6: Final answer
    x = 77,138.76

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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.