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Finding the Fourth Proportional to 109,620.40, 164,430.60 and 50,571.40

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Solution

The fourth proportional to 109,620.40, 164,430.60 and 50,571.40 is: 75,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,620.40 : 164,430.60 = 50,571.40 : x
  2. Step 2: Convert to fraction form
    109,620.40/164,430.60 = 50,571.40/x
  3. Step 3: Cross multiply
    109,620.40x = 164,430.60 × 50,571.40
  4. Step 4: Simplify right side
    109,620.40x = 8,315,485,644.84
  5. Step 5: Solve for x
    x = 8,315,485,644.84/109,620.40
  6. Step 6: Final answer
    x = 75,857.10

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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.