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Finding the Fourth Proportional to 208,507.82, 287,745.20 and 117,858.36

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Solution

The fourth proportional to 208,507.82, 287,745.20 and 117,858.36 is: 162,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,507.82 : 287,745.20 = 117,858.36 : x
  2. Step 2: Convert to fraction form
    208,507.82/287,745.20 = 117,858.36/x
  3. Step 3: Cross multiply
    208,507.82x = 287,745.20 × 117,858.36
  4. Step 4: Simplify right side
    208,507.82x = 33,913,177,369.87
  5. Step 5: Solve for x
    x = 33,913,177,369.87/208,507.82
  6. Step 6: Final answer
    x = 162,647.03

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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.