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Finding the Fourth Proportional to 144,177.78, 198,963.36 and 83,782.56

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Solution

The fourth proportional to 144,177.78, 198,963.36 and 83,782.56 is: 115,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,177.78 : 198,963.36 = 83,782.56 : x
  2. Step 2: Convert to fraction form
    144,177.78/198,963.36 = 83,782.56/x
  3. Step 3: Cross multiply
    144,177.78x = 198,963.36 × 83,782.56
  4. Step 4: Simplify right side
    144,177.78x = 16,669,659,647.00
  5. Step 5: Solve for x
    x = 16,669,659,647.00/144,177.78
  6. Step 6: Final answer
    x = 115,618.78

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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.