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Finding the Fourth Proportional to 144,863.64, 199,935.54 and 81,217.08

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Solution

The fourth proportional to 144,863.64, 199,935.54 and 81,217.08 is: 112,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,863.64 : 199,935.54 = 81,217.08 : x
  2. Step 2: Convert to fraction form
    144,863.64/199,935.54 = 81,217.08/x
  3. Step 3: Cross multiply
    144,863.64x = 199,935.54 × 81,217.08
  4. Step 4: Simplify right side
    144,863.64x = 16,238,180,747.02
  5. Step 5: Solve for x
    x = 16,238,180,747.02/144,863.64
  6. Step 6: Final answer
    x = 112,092.87

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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.