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Finding the Fourth Proportional to 70,145.82, 105,228.25 and 22,745.45

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Solution

The fourth proportional to 70,145.82, 105,228.25 and 22,745.45 is: 34,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,145.82 : 105,228.25 = 22,745.45 : x
  2. Step 2: Convert to fraction form
    70,145.82/105,228.25 = 22,745.45/x
  3. Step 3: Cross multiply
    70,145.82x = 105,228.25 × 22,745.45
  4. Step 4: Simplify right side
    70,145.82x = 2,393,463,898.96
  5. Step 5: Solve for x
    x = 2,393,463,898.96/70,145.82
  6. Step 6: Final answer
    x = 34,121.26

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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.