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Finding the Fourth Proportional to 158,315.86, 218,469.32 and 86,694.65

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Solution

The fourth proportional to 158,315.86, 218,469.32 and 86,694.65 is: 119,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,315.86 : 218,469.32 = 86,694.65 : x
  2. Step 2: Convert to fraction form
    158,315.86/218,469.32 = 86,694.65/x
  3. Step 3: Cross multiply
    158,315.86x = 218,469.32 × 86,694.65
  4. Step 4: Simplify right side
    158,315.86x = 18,940,120,140.79
  5. Step 5: Solve for x
    x = 18,940,120,140.79/158,315.86
  6. Step 6: Final answer
    x = 119,635.02

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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.