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Finding the Fourth Proportional to 30,078, 45,087.12 and 20,194.56

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Solution

The fourth proportional to 30,078, 45,087.12 and 20,194.56 is: 30,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078 : 45,087.12 = 20,194.56 : x
  2. Step 2: Convert to fraction form
    30,078/45,087.12 = 20,194.56/x
  3. Step 3: Cross multiply
    30,078x = 45,087.12 × 20,194.56
  4. Step 4: Simplify right side
    30,078x = 910,514,550.07
  5. Step 5: Solve for x
    x = 910,514,550.07/30,078
  6. Step 6: Final answer
    x = 30,271.78

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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.