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Finding the Fourth Proportional to 101,081.66, 151,651.64 and 30,971.30

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Solution

The fourth proportional to 101,081.66, 151,651.64 and 30,971.30 is: 46,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,081.66 : 151,651.64 = 30,971.30 : x
  2. Step 2: Convert to fraction form
    101,081.66/151,651.64 = 30,971.30/x
  3. Step 3: Cross multiply
    101,081.66x = 151,651.64 × 30,971.30
  4. Step 4: Simplify right side
    101,081.66x = 4,696,847,757.10
  5. Step 5: Solve for x
    x = 4,696,847,757.10/101,081.66
  6. Step 6: Final answer
    x = 46,465.88

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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.