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Finding the Fourth Proportional to 208,000.44, 311,859.72 and 81,561.60

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Solution

The fourth proportional to 208,000.44, 311,859.72 and 81,561.60 is: 122,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,000.44 : 311,859.72 = 81,561.60 : x
  2. Step 2: Convert to fraction form
    208,000.44/311,859.72 = 81,561.60/x
  3. Step 3: Cross multiply
    208,000.44x = 311,859.72 × 81,561.60
  4. Step 4: Simplify right side
    208,000.44x = 25,435,777,738.75
  5. Step 5: Solve for x
    x = 25,435,777,738.75/208,000.44
  6. Step 6: Final answer
    x = 122,287.13

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1.5x scale

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.