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Finding the Fourth Proportional to 120,354.33, 166,094.69 and 72,606.66

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Solution

The fourth proportional to 120,354.33, 166,094.69 and 72,606.66 is: 100,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,354.33 : 166,094.69 = 72,606.66 : x
  2. Step 2: Convert to fraction form
    120,354.33/166,094.69 = 72,606.66/x
  3. Step 3: Cross multiply
    120,354.33x = 166,094.69 × 72,606.66
  4. Step 4: Simplify right side
    120,354.33x = 12,059,579,698.75
  5. Step 5: Solve for x
    x = 12,059,579,698.75/120,354.33
  6. Step 6: Final answer
    x = 100,200.63

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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.