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Finding the Fourth Proportional to 115,859.97, 159,873.54 and 64,865.61

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Solution

The fourth proportional to 115,859.97, 159,873.54 and 64,865.61 is: 89,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,859.97 : 159,873.54 = 64,865.61 : x
  2. Step 2: Convert to fraction form
    115,859.97/159,873.54 = 64,865.61/x
  3. Step 3: Cross multiply
    115,859.97x = 159,873.54 × 64,865.61
  4. Step 4: Simplify right side
    115,859.97x = 10,370,294,694.96
  5. Step 5: Solve for x
    x = 10,370,294,694.96/115,859.97
  6. Step 6: Final answer
    x = 89,507.14

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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.