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Finding the Fourth Proportional to 208,040.64, 311,919.52 and 81,601.60

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Solution

The fourth proportional to 208,040.64, 311,919.52 and 81,601.60 is: 122,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,040.64 : 311,919.52 = 81,601.60 : x
  2. Step 2: Convert to fraction form
    208,040.64/311,919.52 = 81,601.60/x
  3. Step 3: Cross multiply
    208,040.64x = 311,919.52 × 81,601.60
  4. Step 4: Simplify right side
    208,040.64x = 25,453,131,903.23
  5. Step 5: Solve for x
    x = 25,453,131,903.23/208,040.64
  6. Step 6: Final answer
    x = 122,346.92

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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.