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Finding the Fourth Proportional to 133,858.11, 200,723.10 and 77,713.74

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Solution

The fourth proportional to 133,858.11, 200,723.10 and 77,713.74 is: 116,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,858.11 : 200,723.10 = 77,713.74 : x
  2. Step 2: Convert to fraction form
    133,858.11/200,723.10 = 77,713.74/x
  3. Step 3: Cross multiply
    133,858.11x = 200,723.10 × 77,713.74
  4. Step 4: Simplify right side
    133,858.11x = 15,598,942,805.39
  5. Step 5: Solve for x
    x = 15,598,942,805.39/133,858.11
  6. Step 6: Final answer
    x = 116,533.42

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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.