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Finding the Fourth Proportional to 85,198.95, 127,701.54 and 51,845.58

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Solution

The fourth proportional to 85,198.95, 127,701.54 and 51,845.58 is: 77,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,198.95 : 127,701.54 = 51,845.58 : x
  2. Step 2: Convert to fraction form
    85,198.95/127,701.54 = 51,845.58/x
  3. Step 3: Cross multiply
    85,198.95x = 127,701.54 × 51,845.58
  4. Step 4: Simplify right side
    85,198.95x = 6,620,760,408.19
  5. Step 5: Solve for x
    x = 6,620,760,408.19/85,198.95
  6. Step 6: Final answer
    x = 77,709.41

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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.