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Finding the Fourth Proportional to 100,442.52, 150,605.46 and 38,079

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Solution

The fourth proportional to 100,442.52, 150,605.46 and 38,079 is: 57,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,442.52 : 150,605.46 = 38,079 : x
  2. Step 2: Convert to fraction form
    100,442.52/150,605.46 = 38,079/x
  3. Step 3: Cross multiply
    100,442.52x = 150,605.46 × 38,079
  4. Step 4: Simplify right side
    100,442.52x = 5,734,905,311.34
  5. Step 5: Solve for x
    x = 5,734,905,311.34/100,442.52
  6. Step 6: Final answer
    x = 57,096.39

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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.