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Finding the Fourth Proportional to 203,063, 280,188.06 and 131,433.08

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Solution

The fourth proportional to 203,063, 280,188.06 and 131,433.08 is: 181,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,063 : 280,188.06 = 131,433.08 : x
  2. Step 2: Convert to fraction form
    203,063/280,188.06 = 131,433.08/x
  3. Step 3: Cross multiply
    203,063x = 280,188.06 × 131,433.08
  4. Step 4: Simplify right side
    203,063x = 36,825,979,705.02
  5. Step 5: Solve for x
    x = 36,825,979,705.02/203,063
  6. Step 6: Final answer
    x = 181,352.49

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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.