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Finding the Fourth Proportional to 229,065.32, 343,630.38 and 71,309.72

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Solution

The fourth proportional to 229,065.32, 343,630.38 and 71,309.72 is: 106,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,065.32 : 343,630.38 = 71,309.72 : x
  2. Step 2: Convert to fraction form
    229,065.32/343,630.38 = 71,309.72/x
  3. Step 3: Cross multiply
    229,065.32x = 343,630.38 × 71,309.72
  4. Step 4: Simplify right side
    229,065.32x = 24,504,186,181.29
  5. Step 5: Solve for x
    x = 24,504,186,181.29/229,065.32
  6. Step 6: Final answer
    x = 106,974.67

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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.