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Finding the Fourth Proportional to 85,198.19, 127,700.42 and 51,844.82

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Solution

The fourth proportional to 85,198.19, 127,700.42 and 51,844.82 is: 77,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,198.19 : 127,700.42 = 51,844.82 : x
  2. Step 2: Convert to fraction form
    85,198.19/127,700.42 = 51,844.82/x
  3. Step 3: Cross multiply
    85,198.19x = 127,700.42 × 51,844.82
  4. Step 4: Simplify right side
    85,198.19x = 6,620,604,391.10
  5. Step 5: Solve for x
    x = 6,620,604,391.10/85,198.19
  6. Step 6: Final answer
    x = 77,708.28

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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.