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Finding the Fourth Proportional to 200,933.40, 301,745.70 and 142,181.40

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Solution

The fourth proportional to 200,933.40, 301,745.70 and 142,181.40 is: 213,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,933.40 : 301,745.70 = 142,181.40 : x
  2. Step 2: Convert to fraction form
    200,933.40/301,745.70 = 142,181.40/x
  3. Step 3: Cross multiply
    200,933.40x = 301,745.70 × 142,181.40
  4. Step 4: Simplify right side
    200,933.40x = 42,902,626,069.98
  5. Step 5: Solve for x
    x = 42,902,626,069.98/200,933.40
  6. Step 6: Final answer
    x = 213,516.65

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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.