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Finding the Fourth Proportional to 200,158.45, 300,164.87 and 67,007.07

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Solution

The fourth proportional to 200,158.45, 300,164.87 and 67,007.07 is: 100,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,158.45 : 300,164.87 = 67,007.07 : x
  2. Step 2: Convert to fraction form
    200,158.45/300,164.87 = 67,007.07/x
  3. Step 3: Cross multiply
    200,158.45x = 300,164.87 × 67,007.07
  4. Step 4: Simplify right side
    200,158.45x = 20,113,168,623.15
  5. Step 5: Solve for x
    x = 20,113,168,623.15/200,158.45
  6. Step 6: Final answer
    x = 100,486.23

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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.