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Finding the Fourth Proportional to 158,454.96, 218,664.36 and 86,833.44

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Solution

The fourth proportional to 158,454.96, 218,664.36 and 86,833.44 is: 119,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,454.96 : 218,664.36 = 86,833.44 : x
  2. Step 2: Convert to fraction form
    158,454.96/218,664.36 = 86,833.44/x
  3. Step 3: Cross multiply
    158,454.96x = 218,664.36 × 86,833.44
  4. Step 4: Simplify right side
    158,454.96x = 18,987,378,584.20
  5. Step 5: Solve for x
    x = 18,987,378,584.20/158,454.96
  6. Step 6: Final answer
    x = 119,828.24

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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.