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Finding the Fourth Proportional to 158,384.96, 218,571.28 and 86,767.56

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Solution

The fourth proportional to 158,384.96, 218,571.28 and 86,767.56 is: 119,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,384.96 : 218,571.28 = 86,767.56 : x
  2. Step 2: Convert to fraction form
    158,384.96/218,571.28 = 86,767.56/x
  3. Step 3: Cross multiply
    158,384.96x = 218,571.28 × 86,767.56
  4. Step 4: Simplify right side
    158,384.96x = 18,964,896,651.68
  5. Step 5: Solve for x
    x = 18,964,896,651.68/158,384.96
  6. Step 6: Final answer
    x = 119,739.25

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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.