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Finding the Fourth Proportional to 200,029.80, 299,814.30 and 81,642.60

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Solution

The fourth proportional to 200,029.80, 299,814.30 and 81,642.60 is: 122,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,029.80 : 299,814.30 = 81,642.60 : x
  2. Step 2: Convert to fraction form
    200,029.80/299,814.30 = 81,642.60/x
  3. Step 3: Cross multiply
    200,029.80x = 299,814.30 × 81,642.60
  4. Step 4: Simplify right side
    200,029.80x = 24,477,618,969.18
  5. Step 5: Solve for x
    x = 24,477,618,969.18/200,029.80
  6. Step 6: Final answer
    x = 122,369.86

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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.