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Finding the Fourth Proportional to 203,076, 280,206 and 131,446.08

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Solution

The fourth proportional to 203,076, 280,206 and 131,446.08 is: 181,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,076 : 280,206 = 131,446.08 : x
  2. Step 2: Convert to fraction form
    203,076/280,206 = 131,446.08/x
  3. Step 3: Cross multiply
    203,076x = 280,206 × 131,446.08
  4. Step 4: Simplify right side
    203,076x = 36,831,980,292.48
  5. Step 5: Solve for x
    x = 36,831,980,292.48/203,076
  6. Step 6: Final answer
    x = 181,370.42

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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.