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Finding the Fourth Proportional to 144,908.10, 199,962.18 and 81,233.82

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Solution

The fourth proportional to 144,908.10, 199,962.18 and 81,233.82 is: 112,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,908.10 : 199,962.18 = 81,233.82 : x
  2. Step 2: Convert to fraction form
    144,908.10/199,962.18 = 81,233.82/x
  3. Step 3: Cross multiply
    144,908.10x = 199,962.18 × 81,233.82
  4. Step 4: Simplify right side
    144,908.10x = 16,243,691,736.93
  5. Step 5: Solve for x
    x = 16,243,691,736.93/144,908.10
  6. Step 6: Final answer
    x = 112,096.51

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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.