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Finding the Fourth Proportional to 98,132, 135,439.83 and 57,843.38

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Solution

The fourth proportional to 98,132, 135,439.83 and 57,843.38 is: 79,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,132 : 135,439.83 = 57,843.38 : x
  2. Step 2: Convert to fraction form
    98,132/135,439.83 = 57,843.38/x
  3. Step 3: Cross multiply
    98,132x = 135,439.83 × 57,843.38
  4. Step 4: Simplify right side
    98,132x = 7,834,297,553.83
  5. Step 5: Solve for x
    x = 7,834,297,553.83/98,132
  6. Step 6: Final answer
    x = 79,834.28

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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.