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Finding the Fourth Proportional to 101,119.86, 151,699.30 and 38,785.50

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Solution

The fourth proportional to 101,119.86, 151,699.30 and 38,785.50 is: 58,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,119.86 : 151,699.30 = 38,785.50 : x
  2. Step 2: Convert to fraction form
    101,119.86/151,699.30 = 38,785.50/x
  3. Step 3: Cross multiply
    101,119.86x = 151,699.30 × 38,785.50
  4. Step 4: Simplify right side
    101,119.86x = 5,883,733,103.19
  5. Step 5: Solve for x
    x = 5,883,733,103.19/101,119.86
  6. Step 6: Final answer
    x = 58,185.73

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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.