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Finding the Fourth Proportional to 135,672.26, 203,510.10 and 51,409.76

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Solution

The fourth proportional to 135,672.26, 203,510.10 and 51,409.76 is: 77,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,672.26 : 203,510.10 = 51,409.76 : x
  2. Step 2: Convert to fraction form
    135,672.26/203,510.10 = 51,409.76/x
  3. Step 3: Cross multiply
    135,672.26x = 203,510.10 × 51,409.76
  4. Step 4: Simplify right side
    135,672.26x = 10,462,405,398.58
  5. Step 5: Solve for x
    x = 10,462,405,398.58/135,672.26
  6. Step 6: Final answer
    x = 77,115.29

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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.