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Finding the Fourth Proportional to 208,261.40, 311,954.70 and 114,657.80

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Solution

The fourth proportional to 208,261.40, 311,954.70 and 114,657.80 is: 171,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,261.40 : 311,954.70 = 114,657.80 : x
  2. Step 2: Convert to fraction form
    208,261.40/311,954.70 = 114,657.80/x
  3. Step 3: Cross multiply
    208,261.40x = 311,954.70 × 114,657.80
  4. Step 4: Simplify right side
    208,261.40x = 35,768,039,601.66
  5. Step 5: Solve for x
    x = 35,768,039,601.66/208,261.40
  6. Step 6: Final answer
    x = 171,745.89

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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.