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Finding the Fourth Proportional to 100,574.51, 150,861.75 and 25,694.81

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Solution

The fourth proportional to 100,574.51, 150,861.75 and 25,694.81 is: 38,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574.51 : 150,861.75 = 25,694.81 : x
  2. Step 2: Convert to fraction form
    100,574.51/150,861.75 = 25,694.81/x
  3. Step 3: Cross multiply
    100,574.51x = 150,861.75 × 25,694.81
  4. Step 4: Simplify right side
    100,574.51x = 3,876,364,002.52
  5. Step 5: Solve for x
    x = 3,876,364,002.52/100,574.51
  6. Step 6: Final answer
    x = 38,542.21

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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.