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Finding the Fourth Proportional to 98,543, 135,989.34 and 53,831

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Solution

The fourth proportional to 98,543, 135,989.34 and 53,831 is: 74,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543 : 135,989.34 = 53,831 : x
  2. Step 2: Convert to fraction form
    98,543/135,989.34 = 53,831/x
  3. Step 3: Cross multiply
    98,543x = 135,989.34 × 53,831
  4. Step 4: Simplify right side
    98,543x = 7,320,442,161.54
  5. Step 5: Solve for x
    x = 7,320,442,161.54/98,543
  6. Step 6: Final answer
    x = 74,286.78

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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.