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Finding the Fourth Proportional to 151,696.69, 227,684.79 and 76,869.84

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Solution

The fourth proportional to 151,696.69, 227,684.79 and 76,869.84 is: 115,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,696.69 : 227,684.79 = 76,869.84 : x
  2. Step 2: Convert to fraction form
    151,696.69/227,684.79 = 76,869.84/x
  3. Step 3: Cross multiply
    151,696.69x = 227,684.79 × 76,869.84
  4. Step 4: Simplify right side
    151,696.69x = 17,502,094,231.55
  5. Step 5: Solve for x
    x = 17,502,094,231.55/151,696.69
  6. Step 6: Final answer
    x = 115,375.59

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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.