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Finding the Fourth Proportional to 214,726.50, 321,989.80 and 79,696.54

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Solution

The fourth proportional to 214,726.50, 321,989.80 and 79,696.54 is: 119,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,726.50 : 321,989.80 = 79,696.54 : x
  2. Step 2: Convert to fraction form
    214,726.50/321,989.80 = 79,696.54/x
  3. Step 3: Cross multiply
    214,726.50x = 321,989.80 × 79,696.54
  4. Step 4: Simplify right side
    214,726.50x = 25,661,472,975.29
  5. Step 5: Solve for x
    x = 25,661,472,975.29/214,726.50
  6. Step 6: Final answer
    x = 119,507.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.