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Finding the Fourth Proportional to 135,322.58, 202,850 and 64,120.14

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Solution

The fourth proportional to 135,322.58, 202,850 and 64,120.14 is: 96,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,322.58 : 202,850 = 64,120.14 : x
  2. Step 2: Convert to fraction form
    135,322.58/202,850 = 64,120.14/x
  3. Step 3: Cross multiply
    135,322.58x = 202,850 × 64,120.14
  4. Step 4: Simplify right side
    135,322.58x = 13,006,770,399
  5. Step 5: Solve for x
    x = 13,006,770,399/135,322.58
  6. Step 6: Final answer
    x = 96,116.78

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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.