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Finding the Fourth Proportional to 121,493.82, 182,302.20 and 81,967.89

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Solution

The fourth proportional to 121,493.82, 182,302.20 and 81,967.89 is: 122,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,493.82 : 182,302.20 = 81,967.89 : x
  2. Step 2: Convert to fraction form
    121,493.82/182,302.20 = 81,967.89/x
  3. Step 3: Cross multiply
    121,493.82x = 182,302.20 × 81,967.89
  4. Step 4: Simplify right side
    121,493.82x = 14,942,926,676.36
  5. Step 5: Solve for x
    x = 14,942,926,676.36/121,493.82
  6. Step 6: Final answer
    x = 122,993.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.