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Finding the Fourth Proportional to 208,000.02, 287,040.09 and 117,375.24

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Solution

The fourth proportional to 208,000.02, 287,040.09 and 117,375.24 is: 161,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,000.02 : 287,040.09 = 117,375.24 : x
  2. Step 2: Convert to fraction form
    208,000.02/287,040.09 = 117,375.24/x
  3. Step 3: Cross multiply
    208,000.02x = 287,040.09 × 117,375.24
  4. Step 4: Simplify right side
    208,000.02x = 33,691,399,453.37
  5. Step 5: Solve for x
    x = 33,691,399,453.37/208,000.02
  6. Step 6: Final answer
    x = 161,977.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.