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Finding the Fourth Proportional to 100,523.89, 150,556.15 and 47,970.28

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Solution

The fourth proportional to 100,523.89, 150,556.15 and 47,970.28 is: 71,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,523.89 : 150,556.15 = 47,970.28 : x
  2. Step 2: Convert to fraction form
    100,523.89/150,556.15 = 47,970.28/x
  3. Step 3: Cross multiply
    100,523.89x = 150,556.15 × 47,970.28
  4. Step 4: Simplify right side
    100,523.89x = 7,222,220,671.22
  5. Step 5: Solve for x
    x = 7,222,220,671.22/100,523.89
  6. Step 6: Final answer
    x = 71,845.81

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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.