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Finding the Fourth Proportional to 81,401.70, 122,102.55 and 53,408.10

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Solution

The fourth proportional to 81,401.70, 122,102.55 and 53,408.10 is: 80,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,401.70 : 122,102.55 = 53,408.10 : x
  2. Step 2: Convert to fraction form
    81,401.70/122,102.55 = 53,408.10/x
  3. Step 3: Cross multiply
    81,401.70x = 122,102.55 × 53,408.10
  4. Step 4: Simplify right side
    81,401.70x = 6,521,265,200.66
  5. Step 5: Solve for x
    x = 6,521,265,200.66/81,401.70
  6. Step 6: Final answer
    x = 80,112.15

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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.