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Finding the Fourth Proportional to 115,828.32, 159,843.84 and 65,537.28

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Solution

The fourth proportional to 115,828.32, 159,843.84 and 65,537.28 is: 90,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,828.32 : 159,843.84 = 65,537.28 : x
  2. Step 2: Convert to fraction form
    115,828.32/159,843.84 = 65,537.28/x
  3. Step 3: Cross multiply
    115,828.32x = 159,843.84 × 65,537.28
  4. Step 4: Simplify right side
    115,828.32x = 10,475,730,498.36
  5. Step 5: Solve for x
    x = 10,475,730,498.36/115,828.32
  6. Step 6: Final answer
    x = 90,441.88

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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.