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Finding the Fourth Proportional to 101,149.86, 151,719.32 and 31,029.19

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Solution

The fourth proportional to 101,149.86, 151,719.32 and 31,029.19 is: 46,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,149.86 : 151,719.32 = 31,029.19 : x
  2. Step 2: Convert to fraction form
    101,149.86/151,719.32 = 31,029.19/x
  3. Step 3: Cross multiply
    101,149.86x = 151,719.32 × 31,029.19
  4. Step 4: Simplify right side
    101,149.86x = 4,707,727,451.80
  5. Step 5: Solve for x
    x = 4,707,727,451.80/101,149.86
  6. Step 6: Final answer
    x = 46,542.11

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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.