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Finding the Fourth Proportional to 203,146.34, 280,388.60 and 135,166.17

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Solution

The fourth proportional to 203,146.34, 280,388.60 and 135,166.17 is: 186,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,146.34 : 280,388.60 = 135,166.17 : x
  2. Step 2: Convert to fraction form
    203,146.34/280,388.60 = 135,166.17/x
  3. Step 3: Cross multiply
    203,146.34x = 280,388.60 × 135,166.17
  4. Step 4: Simplify right side
    203,146.34x = 37,899,054,056.16
  5. Step 5: Solve for x
    x = 37,899,054,056.16/203,146.34
  6. Step 6: Final answer
    x = 186,560.36

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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.