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Finding the Fourth Proportional to 203,174.10, 280,377.42 and 117,133.25

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Solution

The fourth proportional to 203,174.10, 280,377.42 and 117,133.25 is: 161,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,174.10 : 280,377.42 = 117,133.25 : x
  2. Step 2: Convert to fraction form
    203,174.10/280,377.42 = 117,133.25/x
  3. Step 3: Cross multiply
    203,174.10x = 280,377.42 × 117,133.25
  4. Step 4: Simplify right side
    203,174.10x = 32,841,517,775.53
  5. Step 5: Solve for x
    x = 32,841,517,775.53/203,174.10
  6. Step 6: Final answer
    x = 161,642.25

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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.