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Finding the Fourth Proportional to 208,954.70, 313,636.85 and 103,892.30

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Solution

The fourth proportional to 208,954.70, 313,636.85 and 103,892.30 is: 155,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,954.70 : 313,636.85 = 103,892.30 : x
  2. Step 2: Convert to fraction form
    208,954.70/313,636.85 = 103,892.30/x
  3. Step 3: Cross multiply
    208,954.70x = 313,636.85 × 103,892.30
  4. Step 4: Simplify right side
    208,954.70x = 32,584,453,711.26
  5. Step 5: Solve for x
    x = 32,584,453,711.26/208,954.70
  6. Step 6: Final answer
    x = 155,940.28

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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.