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Finding the Fourth Proportional to 228,760.80, 343,174.32 and 71,002

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Solution

The fourth proportional to 228,760.80, 343,174.32 and 71,002 is: 106,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,760.80 : 343,174.32 = 71,002 : x
  2. Step 2: Convert to fraction form
    228,760.80/343,174.32 = 71,002/x
  3. Step 3: Cross multiply
    228,760.80x = 343,174.32 × 71,002
  4. Step 4: Simplify right side
    228,760.80x = 24,366,063,068.64
  5. Step 5: Solve for x
    x = 24,366,063,068.64/228,760.80
  6. Step 6: Final answer
    x = 106,513.28

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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.