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Finding the Fourth Proportional to 144,808.38, 199,827.36 and 84,388.86

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Solution

The fourth proportional to 144,808.38, 199,827.36 and 84,388.86 is: 116,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,808.38 : 199,827.36 = 84,388.86 : x
  2. Step 2: Convert to fraction form
    144,808.38/199,827.36 = 84,388.86/x
  3. Step 3: Cross multiply
    144,808.38x = 199,827.36 × 84,388.86
  4. Step 4: Simplify right side
    144,808.38x = 16,863,203,107.21
  5. Step 5: Solve for x
    x = 16,863,203,107.21/144,808.38
  6. Step 6: Final answer
    x = 116,451.85

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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.