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Finding the Fourth Proportional to 54,830.54, 75,665.48 and 30,958.22

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Solution

The fourth proportional to 54,830.54, 75,665.48 and 30,958.22 is: 42,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,830.54 : 75,665.48 = 30,958.22 : x
  2. Step 2: Convert to fraction form
    54,830.54/75,665.48 = 30,958.22/x
  3. Step 3: Cross multiply
    54,830.54x = 75,665.48 × 30,958.22
  4. Step 4: Simplify right side
    54,830.54x = 2,342,468,043.13
  5. Step 5: Solve for x
    x = 2,342,468,043.13/54,830.54
  6. Step 6: Final answer
    x = 42,721.96

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