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Finding the Fourth Proportional to 75,920.85, 113,816.48 and 53,664.21

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Solution

The fourth proportional to 75,920.85, 113,816.48 and 53,664.21 is: 80,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,920.85 : 113,816.48 = 53,664.21 : x
  2. Step 2: Convert to fraction form
    75,920.85/113,816.48 = 53,664.21/x
  3. Step 3: Cross multiply
    75,920.85x = 113,816.48 × 53,664.21
  4. Step 4: Simplify right side
    75,920.85x = 6,107,871,215.86
  5. Step 5: Solve for x
    x = 6,107,871,215.86/75,920.85
  6. Step 6: Final answer
    x = 80,450.51

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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.