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Finding the Fourth Proportional to 120,729.78, 166,599 and 73,009.44

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Solution

The fourth proportional to 120,729.78, 166,599 and 73,009.44 is: 100,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,729.78 : 166,599 = 73,009.44 : x
  2. Step 2: Convert to fraction form
    120,729.78/166,599 = 73,009.44/x
  3. Step 3: Cross multiply
    120,729.78x = 166,599 × 73,009.44
  4. Step 4: Simplify right side
    120,729.78x = 12,163,299,694.56
  5. Step 5: Solve for x
    x = 12,163,299,694.56/120,729.78
  6. Step 6: Final answer
    x = 100,748.13

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1.5x scale

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.