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Finding the Fourth Proportional to 133,593.64, 200,328.14 and 77,449.80

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Solution

The fourth proportional to 133,593.64, 200,328.14 and 77,449.80 is: 116,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,593.64 : 200,328.14 = 77,449.80 : x
  2. Step 2: Convert to fraction form
    133,593.64/200,328.14 = 77,449.80/x
  3. Step 3: Cross multiply
    133,593.64x = 200,328.14 × 77,449.80
  4. Step 4: Simplify right side
    133,593.64x = 15,515,374,377.37
  5. Step 5: Solve for x
    x = 15,515,374,377.37/133,593.64
  6. Step 6: Final answer
    x = 116,138.57

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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.