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Finding the Fourth Proportional to 200,025.80, 299,808.30 and 81,638.60

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Solution

The fourth proportional to 200,025.80, 299,808.30 and 81,638.60 is: 122,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,025.80 : 299,808.30 = 81,638.60 : x
  2. Step 2: Convert to fraction form
    200,025.80/299,808.30 = 81,638.60/x
  3. Step 3: Cross multiply
    200,025.80x = 299,808.30 × 81,638.60
  4. Step 4: Simplify right side
    200,025.80x = 24,475,929,880.38
  5. Step 5: Solve for x
    x = 24,475,929,880.38/200,025.80
  6. Step 6: Final answer
    x = 122,363.86

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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.