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Finding the Fourth Proportional to 54,036, 81,018 and 22,437.84

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Solution

The fourth proportional to 54,036, 81,018 and 22,437.84 is: 33,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,036 : 81,018 = 22,437.84 : x
  2. Step 2: Convert to fraction form
    54,036/81,018 = 22,437.84/x
  3. Step 3: Cross multiply
    54,036x = 81,018 × 22,437.84
  4. Step 4: Simplify right side
    54,036x = 1,817,868,921.12
  5. Step 5: Solve for x
    x = 1,817,868,921.12/54,036
  6. Step 6: Final answer
    x = 33,641.81

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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.