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Finding the Fourth Proportional to 151,219.97, 208,684.31 and 83,243.78

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Solution

The fourth proportional to 151,219.97, 208,684.31 and 83,243.78 is: 114,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,219.97 : 208,684.31 = 83,243.78 : x
  2. Step 2: Convert to fraction form
    151,219.97/208,684.31 = 83,243.78/x
  3. Step 3: Cross multiply
    151,219.97x = 208,684.31 × 83,243.78
  4. Step 4: Simplify right side
    151,219.97x = 17,371,669,331.45
  5. Step 5: Solve for x
    x = 17,371,669,331.45/151,219.97
  6. Step 6: Final answer
    x = 114,876.82

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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.