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Finding the Fourth Proportional to 199,963.73, 299,885.01 and 105,142.82

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Solution

The fourth proportional to 199,963.73, 299,885.01 and 105,142.82 is: 157,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,963.73 : 299,885.01 = 105,142.82 : x
  2. Step 2: Convert to fraction form
    199,963.73/299,885.01 = 105,142.82/x
  3. Step 3: Cross multiply
    199,963.73x = 299,885.01 × 105,142.82
  4. Step 4: Simplify right side
    199,963.73x = 31,530,755,627.13
  5. Step 5: Solve for x
    x = 31,530,755,627.13/199,963.73
  6. Step 6: Final answer
    x = 157,682.37

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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.