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Finding the Fourth Proportional to 83,640.36, 115,477.74 and 51,843

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Solution

The fourth proportional to 83,640.36, 115,477.74 and 51,843 is: 71,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,640.36 : 115,477.74 = 51,843 : x
  2. Step 2: Convert to fraction form
    83,640.36/115,477.74 = 51,843/x
  3. Step 3: Cross multiply
    83,640.36x = 115,477.74 × 51,843
  4. Step 4: Simplify right side
    83,640.36x = 5,986,712,474.82
  5. Step 5: Solve for x
    x = 5,986,712,474.82/83,640.36
  6. Step 6: Final answer
    x = 71,576.84

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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.