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Finding the Fourth Proportional to 199,494, 299,297.25 and 81,250.20

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Solution

The fourth proportional to 199,494, 299,297.25 and 81,250.20 is: 121,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,494 : 299,297.25 = 81,250.20 : x
  2. Step 2: Convert to fraction form
    199,494/299,297.25 = 81,250.20/x
  3. Step 3: Cross multiply
    199,494x = 299,297.25 × 81,250.20
  4. Step 4: Simplify right side
    199,494x = 24,317,961,421.95
  5. Step 5: Solve for x
    x = 24,317,961,421.95/199,494
  6. Step 6: Final answer
    x = 121,898.21

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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.