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Finding the Fourth Proportional to 115,831, 159,845.70 and 65,530

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Solution

The fourth proportional to 115,831, 159,845.70 and 65,530 is: 90,430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,831 : 159,845.70 = 65,530 : x
  2. Step 2: Convert to fraction form
    115,831/159,845.70 = 65,530/x
  3. Step 3: Cross multiply
    115,831x = 159,845.70 × 65,530
  4. Step 4: Simplify right side
    115,831x = 10,474,688,721
  5. Step 5: Solve for x
    x = 10,474,688,721/115,831
  6. Step 6: Final answer
    x = 90,430.79

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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.