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Finding the Fourth Proportional to 200,427.52, 300,675.96 and 67,320.64

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Solution

The fourth proportional to 200,427.52, 300,675.96 and 67,320.64 is: 100,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,427.52 : 300,675.96 = 67,320.64 : x
  2. Step 2: Convert to fraction form
    200,427.52/300,675.96 = 67,320.64/x
  3. Step 3: Cross multiply
    200,427.52x = 300,675.96 × 67,320.64
  4. Step 4: Simplify right side
    200,427.52x = 20,241,698,059.81
  5. Step 5: Solve for x
    x = 20,241,698,059.81/200,427.52
  6. Step 6: Final answer
    x = 100,992.61

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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.