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Finding the Fourth Proportional to 54,701.60, 81,994.80 and 21,408.80

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Solution

The fourth proportional to 54,701.60, 81,994.80 and 21,408.80 is: 32,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,701.60 : 81,994.80 = 21,408.80 : x
  2. Step 2: Convert to fraction form
    54,701.60/81,994.80 = 21,408.80/x
  3. Step 3: Cross multiply
    54,701.60x = 81,994.80 × 21,408.80
  4. Step 4: Simplify right side
    54,701.60x = 1,755,410,274.24
  5. Step 5: Solve for x
    x = 1,755,410,274.24/54,701.60
  6. Step 6: Final answer
    x = 32,090.66

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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.