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Finding the Fourth Proportional to 100,418.66, 150,631.91 and 30,297.98

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Solution

The fourth proportional to 100,418.66, 150,631.91 and 30,297.98 is: 45,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418.66 : 150,631.91 = 30,297.98 : x
  2. Step 2: Convert to fraction form
    100,418.66/150,631.91 = 30,297.98/x
  3. Step 3: Cross multiply
    100,418.66x = 150,631.91 × 30,297.98
  4. Step 4: Simplify right side
    100,418.66x = 4,563,842,596.54
  5. Step 5: Solve for x
    x = 4,563,842,596.54/100,418.66
  6. Step 6: Final answer
    x = 45,448.15

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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.