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Finding the Fourth Proportional to 54,597.15, 81,847.01 and 21,309.48

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Solution

The fourth proportional to 54,597.15, 81,847.01 and 21,309.48 is: 31,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,597.15 : 81,847.01 = 21,309.48 : x
  2. Step 2: Convert to fraction form
    54,597.15/81,847.01 = 21,309.48/x
  3. Step 3: Cross multiply
    54,597.15x = 81,847.01 × 21,309.48
  4. Step 4: Simplify right side
    54,597.15x = 1,744,117,116.11
  5. Step 5: Solve for x
    x = 1,744,117,116.11/54,597.15
  6. Step 6: Final answer
    x = 31,945.20

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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.