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Finding the Fourth Proportional to 115,867, 159,896.46 and 62,875

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Solution

The fourth proportional to 115,867, 159,896.46 and 62,875 is: 86,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,867 : 159,896.46 = 62,875 : x
  2. Step 2: Convert to fraction form
    115,867/159,896.46 = 62,875/x
  3. Step 3: Cross multiply
    115,867x = 159,896.46 × 62,875
  4. Step 4: Simplify right side
    115,867x = 10,053,489,922.50
  5. Step 5: Solve for x
    x = 10,053,489,922.50/115,867
  6. Step 6: Final answer
    x = 86,767.50

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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.