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Finding the Fourth Proportional to 100,391.88, 150,498.48 and 38,106.12

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Solution

The fourth proportional to 100,391.88, 150,498.48 and 38,106.12 is: 57,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,391.88 : 150,498.48 = 38,106.12 : x
  2. Step 2: Convert to fraction form
    100,391.88/150,498.48 = 38,106.12/x
  3. Step 3: Cross multiply
    100,391.88x = 150,498.48 × 38,106.12
  4. Step 4: Simplify right side
    100,391.88x = 5,734,913,138.70
  5. Step 5: Solve for x
    x = 5,734,913,138.70/100,391.88
  6. Step 6: Final answer
    x = 57,125.27

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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.