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Finding the Fourth Proportional to 73,922, 102,012.36 and 40,388.24

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Solution

The fourth proportional to 73,922, 102,012.36 and 40,388.24 is: 55,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,922 : 102,012.36 = 40,388.24 : x
  2. Step 2: Convert to fraction form
    73,922/102,012.36 = 40,388.24/x
  3. Step 3: Cross multiply
    73,922x = 102,012.36 × 40,388.24
  4. Step 4: Simplify right side
    73,922x = 4,120,099,678.65
  5. Step 5: Solve for x
    x = 4,120,099,678.65/73,922
  6. Step 6: Final answer
    x = 55,735.77

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1.5x scale

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.