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Finding the Fourth Proportional to 277,556.10, 416,079 and 100,019.70

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Solution

The fourth proportional to 277,556.10, 416,079 and 100,019.70 is: 149,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,556.10 : 416,079 = 100,019.70 : x
  2. Step 2: Convert to fraction form
    277,556.10/416,079 = 100,019.70/x
  3. Step 3: Cross multiply
    277,556.10x = 416,079 × 100,019.70
  4. Step 4: Simplify right side
    277,556.10x = 41,616,096,756.30
  5. Step 5: Solve for x
    x = 41,616,096,756.30/277,556.10
  6. Step 6: Final answer
    x = 149,937.60

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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.