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Finding the Fourth Proportional to 100,705.57, 138,969.92 and 55,383.08

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Solution

The fourth proportional to 100,705.57, 138,969.92 and 55,383.08 is: 76,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705.57 : 138,969.92 = 55,383.08 : x
  2. Step 2: Convert to fraction form
    100,705.57/138,969.92 = 55,383.08/x
  3. Step 3: Cross multiply
    100,705.57x = 138,969.92 × 55,383.08
  4. Step 4: Simplify right side
    100,705.57x = 7,696,581,640.56
  5. Step 5: Solve for x
    x = 7,696,581,640.56/100,705.57
  6. Step 6: Final answer
    x = 76,426.58

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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.