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Finding the Fourth Proportional to 54,329.22, 74,971.17 and 30,451.50

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Solution

The fourth proportional to 54,329.22, 74,971.17 and 30,451.50 is: 42,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,329.22 : 74,971.17 = 30,451.50 : x
  2. Step 2: Convert to fraction form
    54,329.22/74,971.17 = 30,451.50/x
  3. Step 3: Cross multiply
    54,329.22x = 74,971.17 × 30,451.50
  4. Step 4: Simplify right side
    54,329.22x = 2,282,984,583.26
  5. Step 5: Solve for x
    x = 2,282,984,583.26/54,329.22
  6. Step 6: Final answer
    x = 42,021.30

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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.