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Finding the Fourth Proportional to 135,717, 203,663.16 and 52,611

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Solution

The fourth proportional to 135,717, 203,663.16 and 52,611 is: 78,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,717 : 203,663.16 = 52,611 : x
  2. Step 2: Convert to fraction form
    135,717/203,663.16 = 52,611/x
  3. Step 3: Cross multiply
    135,717x = 203,663.16 × 52,611
  4. Step 4: Simplify right side
    135,717x = 10,714,922,510.76
  5. Step 5: Solve for x
    x = 10,714,922,510.76/135,717
  6. Step 6: Final answer
    x = 78,950.48

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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.