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Finding the Fourth Proportional to 208,135.44, 312,367.32 and 106,929.45

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Solution

The fourth proportional to 208,135.44, 312,367.32 and 106,929.45 is: 160,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,135.44 : 312,367.32 = 106,929.45 : x
  2. Step 2: Convert to fraction form
    208,135.44/312,367.32 = 106,929.45/x
  3. Step 3: Cross multiply
    208,135.44x = 312,367.32 × 106,929.45
  4. Step 4: Simplify right side
    208,135.44x = 33,401,265,725.57
  5. Step 5: Solve for x
    x = 33,401,265,725.57/208,135.44
  6. Step 6: Final answer
    x = 160,478.51

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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.