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Finding the Fourth Proportional to 203,266.32, 280,546.84 and 117,280.90

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Solution

The fourth proportional to 203,266.32, 280,546.84 and 117,280.90 is: 161,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,266.32 : 280,546.84 = 117,280.90 : x
  2. Step 2: Convert to fraction form
    203,266.32/280,546.84 = 117,280.90/x
  3. Step 3: Cross multiply
    203,266.32x = 280,546.84 × 117,280.90
  4. Step 4: Simplify right side
    203,266.32x = 32,902,785,887.36
  5. Step 5: Solve for x
    x = 32,902,785,887.36/203,266.32
  6. Step 6: Final answer
    x = 161,870.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.