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Finding the Fourth Proportional to 203,059, 280,182.54 and 131,429.08

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Solution

The fourth proportional to 203,059, 280,182.54 and 131,429.08 is: 181,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,059 : 280,182.54 = 131,429.08 : x
  2. Step 2: Convert to fraction form
    203,059/280,182.54 = 131,429.08/x
  3. Step 3: Cross multiply
    203,059x = 280,182.54 × 131,429.08
  4. Step 4: Simplify right side
    203,059x = 36,824,133,464.26
  5. Step 5: Solve for x
    x = 36,824,133,464.26/203,059
  6. Step 6: Final answer
    x = 181,346.97

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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.