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Finding the Fourth Proportional to 120,456, 166,229.28 and 67,464

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Solution

The fourth proportional to 120,456, 166,229.28 and 67,464 is: 93,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,456 : 166,229.28 = 67,464 : x
  2. Step 2: Convert to fraction form
    120,456/166,229.28 = 67,464/x
  3. Step 3: Cross multiply
    120,456x = 166,229.28 × 67,464
  4. Step 4: Simplify right side
    120,456x = 11,214,492,145.92
  5. Step 5: Solve for x
    x = 11,214,492,145.92/120,456
  6. Step 6: Final answer
    x = 93,100.32

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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.