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Finding the Fourth Proportional to 54,620.30, 75,375.81 and 30,747.03

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Solution

The fourth proportional to 54,620.30, 75,375.81 and 30,747.03 is: 42,430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,620.30 : 75,375.81 = 30,747.03 : x
  2. Step 2: Convert to fraction form
    54,620.30/75,375.81 = 30,747.03/x
  3. Step 3: Cross multiply
    54,620.30x = 75,375.81 × 30,747.03
  4. Step 4: Simplify right side
    54,620.30x = 2,317,582,291.34
  5. Step 5: Solve for x
    x = 2,317,582,291.34/54,620.30
  6. Step 6: Final answer
    x = 42,430.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.