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Finding the Fourth Proportional to 117,299.05, 161,768.17 and 91,464

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Solution

The fourth proportional to 117,299.05, 161,768.17 and 91,464 is: 126,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,299.05 : 161,768.17 = 91,464 : x
  2. Step 2: Convert to fraction form
    117,299.05/161,768.17 = 91,464/x
  3. Step 3: Cross multiply
    117,299.05x = 161,768.17 × 91,464
  4. Step 4: Simplify right side
    117,299.05x = 14,795,963,672.22
  5. Step 5: Solve for x
    x = 14,795,963,672.22/117,299.05
  6. Step 6: Final answer
    x = 126,138.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.