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Finding the Fourth Proportional to 206,468.88, 309,494.16 and 139,915.74

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Solution

The fourth proportional to 206,468.88, 309,494.16 and 139,915.74 is: 209,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,468.88 : 309,494.16 = 139,915.74 : x
  2. Step 2: Convert to fraction form
    206,468.88/309,494.16 = 139,915.74/x
  3. Step 3: Cross multiply
    206,468.88x = 309,494.16 × 139,915.74
  4. Step 4: Simplify right side
    206,468.88x = 43,303,104,422.08
  5. Step 5: Solve for x
    x = 43,303,104,422.08/206,468.88
  6. Step 6: Final answer
    x = 209,731.87

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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.