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Finding the Fourth Proportional to 100,574.44, 150,894.45 and 47,977.09

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Solution

The fourth proportional to 100,574.44, 150,894.45 and 47,977.09 is: 71,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574.44 : 150,894.45 = 47,977.09 : x
  2. Step 2: Convert to fraction form
    100,574.44/150,894.45 = 47,977.09/x
  3. Step 3: Cross multiply
    100,574.44x = 150,894.45 × 47,977.09
  4. Step 4: Simplify right side
    100,574.44x = 7,239,476,608.15
  5. Step 5: Solve for x
    x = 7,239,476,608.15/100,574.44
  6. Step 6: Final answer
    x = 71,981.28

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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.