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Finding the Fourth Proportional to 109,410, 150,910.82 and 66,989.48

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Solution

The fourth proportional to 109,410, 150,910.82 and 66,989.48 is: 92,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,410 : 150,910.82 = 66,989.48 : x
  2. Step 2: Convert to fraction form
    109,410/150,910.82 = 66,989.48/x
  3. Step 3: Cross multiply
    109,410x = 150,910.82 × 66,989.48
  4. Step 4: Simplify right side
    109,410x = 10,109,437,358.17
  5. Step 5: Solve for x
    x = 10,109,437,358.17/109,410
  6. Step 6: Final answer
    x = 92,399.57

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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.