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Finding the Fourth Proportional to 120,212, 165,900.24 and 67,220

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Solution

The fourth proportional to 120,212, 165,900.24 and 67,220 is: 92,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,212 : 165,900.24 = 67,220 : x
  2. Step 2: Convert to fraction form
    120,212/165,900.24 = 67,220/x
  3. Step 3: Cross multiply
    120,212x = 165,900.24 × 67,220
  4. Step 4: Simplify right side
    120,212x = 11,151,814,132.80
  5. Step 5: Solve for x
    x = 11,151,814,132.80/120,212
  6. Step 6: Final answer
    x = 92,767.89

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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.