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Finding the Fourth Proportional to 228,904.20, 343,356.30 and 71,148.60

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Solution

The fourth proportional to 228,904.20, 343,356.30 and 71,148.60 is: 106,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,904.20 : 343,356.30 = 71,148.60 : x
  2. Step 2: Convert to fraction form
    228,904.20/343,356.30 = 71,148.60/x
  3. Step 3: Cross multiply
    228,904.20x = 343,356.30 × 71,148.60
  4. Step 4: Simplify right side
    228,904.20x = 24,429,320,046.18
  5. Step 5: Solve for x
    x = 24,429,320,046.18/228,904.20
  6. Step 6: Final answer
    x = 106,722.90

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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.