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Finding the Fourth Proportional to 151,824, 227,874.87 and 76,995.78

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Solution

The fourth proportional to 151,824, 227,874.87 and 76,995.78 is: 115,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,824 : 227,874.87 = 76,995.78 : x
  2. Step 2: Convert to fraction form
    151,824/227,874.87 = 76,995.78/x
  3. Step 3: Cross multiply
    151,824x = 227,874.87 × 76,995.78
  4. Step 4: Simplify right side
    151,824x = 17,545,403,358.05
  5. Step 5: Solve for x
    x = 17,545,403,358.05/151,824
  6. Step 6: Final answer
    x = 115,564.10

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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.