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Finding the Fourth Proportional to 228,863.40, 343,359.90 and 71,107.80

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Solution

The fourth proportional to 228,863.40, 343,359.90 and 71,107.80 is: 106,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,863.40 : 343,359.90 = 71,107.80 : x
  2. Step 2: Convert to fraction form
    228,863.40/343,359.90 = 71,107.80/x
  3. Step 3: Cross multiply
    228,863.40x = 343,359.90 × 71,107.80
  4. Step 4: Simplify right side
    228,863.40x = 24,415,567,097.22
  5. Step 5: Solve for x
    x = 24,415,567,097.22/228,863.40
  6. Step 6: Final answer
    x = 106,681.83

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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.