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Finding the Fourth Proportional to 109,419.73, 164,129.64 and 84,496.21

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Solution

The fourth proportional to 109,419.73, 164,129.64 and 84,496.21 is: 126,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,419.73 : 164,129.64 = 84,496.21 : x
  2. Step 2: Convert to fraction form
    109,419.73/164,129.64 = 84,496.21/x
  3. Step 3: Cross multiply
    109,419.73x = 164,129.64 × 84,496.21
  4. Step 4: Simplify right side
    109,419.73x = 13,868,332,528.66
  5. Step 5: Solve for x
    x = 13,868,332,528.66/109,419.73
  6. Step 6: Final answer
    x = 126,744.35

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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.