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Finding the Fourth Proportional to 229,200.81, 343,803.57 and 69,278.05

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Solution

The fourth proportional to 229,200.81, 343,803.57 and 69,278.05 is: 103,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,200.81 : 343,803.57 = 69,278.05 : x
  2. Step 2: Convert to fraction form
    229,200.81/343,803.57 = 69,278.05/x
  3. Step 3: Cross multiply
    229,200.81x = 343,803.57 × 69,278.05
  4. Step 4: Simplify right side
    229,200.81x = 23,818,040,912.64
  5. Step 5: Solve for x
    x = 23,818,040,912.64/229,200.81
  6. Step 6: Final answer
    x = 103,917.79

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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.