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Finding the Fourth Proportional to 54,290.56, 74,919.16 and 30,090.50

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Solution

The fourth proportional to 54,290.56, 74,919.16 and 30,090.50 is: 41,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,290.56 : 74,919.16 = 30,090.50 : x
  2. Step 2: Convert to fraction form
    54,290.56/74,919.16 = 30,090.50/x
  3. Step 3: Cross multiply
    54,290.56x = 74,919.16 × 30,090.50
  4. Step 4: Simplify right side
    54,290.56x = 2,254,354,983.98
  5. Step 5: Solve for x
    x = 2,254,354,983.98/54,290.56
  6. Step 6: Final answer
    x = 41,523.89

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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.