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Finding the Fourth Proportional to 54,535.40, 81,786.90 and 21,236.30

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Solution

The fourth proportional to 54,535.40, 81,786.90 and 21,236.30 is: 31,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,535.40 : 81,786.90 = 21,236.30 : x
  2. Step 2: Convert to fraction form
    54,535.40/81,786.90 = 21,236.30/x
  3. Step 3: Cross multiply
    54,535.40x = 81,786.90 × 21,236.30
  4. Step 4: Simplify right side
    54,535.40x = 1,736,851,144.47
  5. Step 5: Solve for x
    x = 1,736,851,144.47/54,535.40
  6. Step 6: Final answer
    x = 31,848.14

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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.