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Finding the Fourth Proportional to 144,772.94, 199,792.15 and 81,108.56

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Solution

The fourth proportional to 144,772.94, 199,792.15 and 81,108.56 is: 111,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,772.94 : 199,792.15 = 81,108.56 : x
  2. Step 2: Convert to fraction form
    144,772.94/199,792.15 = 81,108.56/x
  3. Step 3: Cross multiply
    144,772.94x = 199,792.15 × 81,108.56
  4. Step 4: Simplify right side
    144,772.94x = 16,204,853,882.51
  5. Step 5: Solve for x
    x = 16,204,853,882.51/144,772.94
  6. Step 6: Final answer
    x = 111,932.89

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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.