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Finding the Fourth Proportional to 254,039.82, 381,078.36 and 85,559.28

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Solution

The fourth proportional to 254,039.82, 381,078.36 and 85,559.28 is: 128,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,039.82 : 381,078.36 = 85,559.28 : x
  2. Step 2: Convert to fraction form
    254,039.82/381,078.36 = 85,559.28/x
  3. Step 3: Cross multiply
    254,039.82x = 381,078.36 × 85,559.28
  4. Step 4: Simplify right side
    254,039.82x = 32,604,790,105.18
  5. Step 5: Solve for x
    x = 32,604,790,105.18/254,039.82
  6. Step 6: Final answer
    x = 128,345.19

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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.