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Finding the Fourth Proportional to 206,637.45, 309,915.36 and 56,839.08

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Solution

The fourth proportional to 206,637.45, 309,915.36 and 56,839.08 is: 85,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,637.45 : 309,915.36 = 56,839.08 : x
  2. Step 2: Convert to fraction form
    206,637.45/309,915.36 = 56,839.08/x
  3. Step 3: Cross multiply
    206,637.45x = 309,915.36 × 56,839.08
  4. Step 4: Simplify right side
    206,637.45x = 17,615,303,940.27
  5. Step 5: Solve for x
    x = 17,615,303,940.27/206,637.45
  6. Step 6: Final answer
    x = 85,247.39

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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.