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Finding the Fourth Proportional to 206,466.88, 309,491.16 and 139,913.74

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Solution

The fourth proportional to 206,466.88, 309,491.16 and 139,913.74 is: 209,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,466.88 : 309,491.16 = 139,913.74 : x
  2. Step 2: Convert to fraction form
    206,466.88/309,491.16 = 139,913.74/x
  3. Step 3: Cross multiply
    206,466.88x = 309,491.16 × 139,913.74
  4. Step 4: Simplify right side
    206,466.88x = 43,302,065,692.54
  5. Step 5: Solve for x
    x = 43,302,065,692.54/206,466.88
  6. Step 6: Final answer
    x = 209,728.87

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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.