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Finding the Fourth Proportional to 101,919.63, 152,905.86 and 38,740.86

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Solution

The fourth proportional to 101,919.63, 152,905.86 and 38,740.86 is: 58,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,919.63 : 152,905.86 = 38,740.86 : x
  2. Step 2: Convert to fraction form
    101,919.63/152,905.86 = 38,740.86/x
  3. Step 3: Cross multiply
    101,919.63x = 152,905.86 × 38,740.86
  4. Step 4: Simplify right side
    101,919.63x = 5,923,704,515.44
  5. Step 5: Solve for x
    x = 5,923,704,515.44/101,919.63
  6. Step 6: Final answer
    x = 58,121.33

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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.