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Finding the Fourth Proportional to 200,392, 300,634.08 and 69,064

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Solution

The fourth proportional to 200,392, 300,634.08 and 69,064 is: 103,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,392 : 300,634.08 = 69,064 : x
  2. Step 2: Convert to fraction form
    200,392/300,634.08 = 69,064/x
  3. Step 3: Cross multiply
    200,392x = 300,634.08 × 69,064
  4. Step 4: Simplify right side
    200,392x = 20,762,992,101.12
  5. Step 5: Solve for x
    x = 20,762,992,101.12/200,392
  6. Step 6: Final answer
    x = 103,611.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.