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Finding the Fourth Proportional to 203,287.82, 280,541.25 and 118,410.35

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Solution

The fourth proportional to 203,287.82, 280,541.25 and 118,410.35 is: 163,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,287.82 : 280,541.25 = 118,410.35 : x
  2. Step 2: Convert to fraction form
    203,287.82/280,541.25 = 118,410.35/x
  3. Step 3: Cross multiply
    203,287.82x = 280,541.25 × 118,410.35
  4. Step 4: Simplify right side
    203,287.82x = 33,218,986,604.56
  5. Step 5: Solve for x
    x = 33,218,986,604.56/203,287.82
  6. Step 6: Final answer
    x = 163,408.64

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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.