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Finding the Fourth Proportional to 207,950.82, 287,049.75 and 161,919.33

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Solution

The fourth proportional to 207,950.82, 287,049.75 and 161,919.33 is: 223,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,950.82 : 287,049.75 = 161,919.33 : x
  2. Step 2: Convert to fraction form
    207,950.82/287,049.75 = 161,919.33/x
  3. Step 3: Cross multiply
    207,950.82x = 287,049.75 × 161,919.33
  4. Step 4: Simplify right side
    207,950.82x = 46,478,901,513.03
  5. Step 5: Solve for x
    x = 46,478,901,513.03/207,950.82
  6. Step 6: Final answer
    x = 223,509.11

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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.