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Finding the Fourth Proportional to 200,146.79, 300,223.83 and 67,002.23

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Solution

The fourth proportional to 200,146.79, 300,223.83 and 67,002.23 is: 100,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,146.79 : 300,223.83 = 67,002.23 : x
  2. Step 2: Convert to fraction form
    200,146.79/300,223.83 = 67,002.23/x
  3. Step 3: Cross multiply
    200,146.79x = 300,223.83 × 67,002.23
  4. Step 4: Simplify right side
    200,146.79x = 20,115,666,109.14
  5. Step 5: Solve for x
    x = 20,115,666,109.14/200,146.79
  6. Step 6: Final answer
    x = 100,504.57

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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.