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Finding the Fourth Proportional to 109,412.73, 164,119.14 and 84,489.21

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Solution

The fourth proportional to 109,412.73, 164,119.14 and 84,489.21 is: 126,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,412.73 : 164,119.14 = 84,489.21 : x
  2. Step 2: Convert to fraction form
    109,412.73/164,119.14 = 84,489.21/x
  3. Step 3: Cross multiply
    109,412.73x = 164,119.14 × 84,489.21
  4. Step 4: Simplify right side
    109,412.73x = 13,866,296,484.48
  5. Step 5: Solve for x
    x = 13,866,296,484.48/109,412.73
  6. Step 6: Final answer
    x = 126,733.85

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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.