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Finding the Fourth Proportional to 55,408.84, 83,113.26 and 13,855.84

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Solution

The fourth proportional to 55,408.84, 83,113.26 and 13,855.84 is: 20,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,408.84 : 83,113.26 = 13,855.84 : x
  2. Step 2: Convert to fraction form
    55,408.84/83,113.26 = 13,855.84/x
  3. Step 3: Cross multiply
    55,408.84x = 83,113.26 × 13,855.84
  4. Step 4: Simplify right side
    55,408.84x = 1,151,604,032.44
  5. Step 5: Solve for x
    x = 1,151,604,032.44/55,408.84
  6. Step 6: Final answer
    x = 20,783.76

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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.