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Finding the Fourth Proportional to 54,010, 81,011.56 and 20,269.36

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Solution

The fourth proportional to 54,010, 81,011.56 and 20,269.36 is: 30,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,010 : 81,011.56 = 20,269.36 : x
  2. Step 2: Convert to fraction form
    54,010/81,011.56 = 20,269.36/x
  3. Step 3: Cross multiply
    54,010x = 81,011.56 × 20,269.36
  4. Step 4: Simplify right side
    54,010x = 1,642,052,473.80
  5. Step 5: Solve for x
    x = 1,642,052,473.80/54,010
  6. Step 6: Final answer
    x = 30,402.75

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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.