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Finding the Fourth Proportional to 54,309, 74,943.96 and 30,435.48

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Solution

The fourth proportional to 54,309, 74,943.96 and 30,435.48 is: 41,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,309 : 74,943.96 = 30,435.48 : x
  2. Step 2: Convert to fraction form
    54,309/74,943.96 = 30,435.48/x
  3. Step 3: Cross multiply
    54,309x = 74,943.96 × 30,435.48
  4. Step 4: Simplify right side
    54,309x = 2,280,955,395.70
  5. Step 5: Solve for x
    x = 2,280,955,395.70/54,309
  6. Step 6: Final answer
    x = 41,999.58

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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.