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Finding the Fourth Proportional to 200,394, 300,637.08 and 69,066

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Solution

The fourth proportional to 200,394, 300,637.08 and 69,066 is: 103,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,394 : 300,637.08 = 69,066 : x
  2. Step 2: Convert to fraction form
    200,394/300,637.08 = 69,066/x
  3. Step 3: Cross multiply
    200,394x = 300,637.08 × 69,066
  4. Step 4: Simplify right side
    200,394x = 20,763,800,567.28
  5. Step 5: Solve for x
    x = 20,763,800,567.28/200,394
  6. Step 6: Final answer
    x = 103,614.88

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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.