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Finding the Fourth Proportional to 180,953, 271,431.24 and 68,603

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Solution

The fourth proportional to 180,953, 271,431.24 and 68,603 is: 102,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,953 : 271,431.24 = 68,603 : x
  2. Step 2: Convert to fraction form
    180,953/271,431.24 = 68,603/x
  3. Step 3: Cross multiply
    180,953x = 271,431.24 × 68,603
  4. Step 4: Simplify right side
    180,953x = 18,620,997,357.72
  5. Step 5: Solve for x
    x = 18,620,997,357.72/180,953
  6. Step 6: Final answer
    x = 102,905.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.