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Finding the Fourth Proportional to 70,735.25, 106,109.81 and 25,768.83

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Solution

The fourth proportional to 70,735.25, 106,109.81 and 25,768.83 is: 38,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,735.25 : 106,109.81 = 25,768.83 : x
  2. Step 2: Convert to fraction form
    70,735.25/106,109.81 = 25,768.83/x
  3. Step 3: Cross multiply
    70,735.25x = 106,109.81 × 25,768.83
  4. Step 4: Simplify right side
    70,735.25x = 2,734,325,261.10
  5. Step 5: Solve for x
    x = 2,734,325,261.10/70,735.25
  6. Step 6: Final answer
    x = 38,655.77

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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.