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Finding the Fourth Proportional to 54,411, 81,616.50 and 21,579

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Solution

The fourth proportional to 54,411, 81,616.50 and 21,579 is: 32,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,411 : 81,616.50 = 21,579 : x
  2. Step 2: Convert to fraction form
    54,411/81,616.50 = 21,579/x
  3. Step 3: Cross multiply
    54,411x = 81,616.50 × 21,579
  4. Step 4: Simplify right side
    54,411x = 1,761,202,453.50
  5. Step 5: Solve for x
    x = 1,761,202,453.50/54,411
  6. Step 6: Final answer
    x = 32,368.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.