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Finding the Fourth Proportional to 100,418.52, 150,624.12 and 30,296

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Solution

The fourth proportional to 100,418.52, 150,624.12 and 30,296 is: 45,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418.52 : 150,624.12 = 30,296 : x
  2. Step 2: Convert to fraction form
    100,418.52/150,624.12 = 30,296/x
  3. Step 3: Cross multiply
    100,418.52x = 150,624.12 × 30,296
  4. Step 4: Simplify right side
    100,418.52x = 4,563,308,339.52
  5. Step 5: Solve for x
    x = 4,563,308,339.52/100,418.52
  6. Step 6: Final answer
    x = 45,442.90

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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.