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Finding the Fourth Proportional to 229,081.28, 343,621.92 and 71,325.68

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Solution

The fourth proportional to 229,081.28, 343,621.92 and 71,325.68 is: 106,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,081.28 : 343,621.92 = 71,325.68 : x
  2. Step 2: Convert to fraction form
    229,081.28/343,621.92 = 71,325.68/x
  3. Step 3: Cross multiply
    229,081.28x = 343,621.92 × 71,325.68
  4. Step 4: Simplify right side
    229,081.28x = 24,509,067,106.91
  5. Step 5: Solve for x
    x = 24,509,067,106.91/229,081.28
  6. Step 6: Final answer
    x = 106,988.52

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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.