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Finding the Fourth Proportional to 203,226.92, 280,457.78 and 118,313

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Solution

The fourth proportional to 203,226.92, 280,457.78 and 118,313 is: 163,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,226.92 : 280,457.78 = 118,313 : x
  2. Step 2: Convert to fraction form
    203,226.92/280,457.78 = 118,313/x
  3. Step 3: Cross multiply
    203,226.92x = 280,457.78 × 118,313
  4. Step 4: Simplify right side
    203,226.92x = 33,181,801,325.14
  5. Step 5: Solve for x
    x = 33,181,801,325.14/203,226.92
  6. Step 6: Final answer
    x = 163,274.64

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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.