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Finding the Fourth Proportional to 200,170.96, 300,214.95 and 73,778.47

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Solution

The fourth proportional to 200,170.96, 300,214.95 and 73,778.47 is: 110,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,170.96 : 300,214.95 = 73,778.47 : x
  2. Step 2: Convert to fraction form
    200,170.96/300,214.95 = 73,778.47/x
  3. Step 3: Cross multiply
    200,170.96x = 300,214.95 × 73,778.47
  4. Step 4: Simplify right side
    200,170.96x = 22,149,399,682.13
  5. Step 5: Solve for x
    x = 22,149,399,682.13/200,170.96
  6. Step 6: Final answer
    x = 110,652.41

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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.