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Finding the Fourth Proportional to 223,334.28, 308,249.91 and 137,367.14

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Solution

The fourth proportional to 223,334.28, 308,249.91 and 137,367.14 is: 189,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,334.28 : 308,249.91 = 137,367.14 : x
  2. Step 2: Convert to fraction form
    223,334.28/308,249.91 = 137,367.14/x
  3. Step 3: Cross multiply
    223,334.28x = 308,249.91 × 137,367.14
  4. Step 4: Simplify right side
    223,334.28x = 42,343,407,000.71
  5. Step 5: Solve for x
    x = 42,343,407,000.71/223,334.28
  6. Step 6: Final answer
    x = 189,596.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.