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Finding the Fourth Proportional to 54,441.71, 81,693.75 and 21,157.46

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Solution

The fourth proportional to 54,441.71, 81,693.75 and 21,157.46 is: 31,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,441.71 : 81,693.75 = 21,157.46 : x
  2. Step 2: Convert to fraction form
    54,441.71/81,693.75 = 21,157.46/x
  3. Step 3: Cross multiply
    54,441.71x = 81,693.75 × 21,157.46
  4. Step 4: Simplify right side
    54,441.71x = 1,728,432,247.88
  5. Step 5: Solve for x
    x = 1,728,432,247.88/54,441.71
  6. Step 6: Final answer
    x = 31,748.31

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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.