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Finding the Fourth Proportional to 145,879.22, 218,846.28 and 100,478.54

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Solution

The fourth proportional to 145,879.22, 218,846.28 and 100,478.54 is: 150,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,879.22 : 218,846.28 = 100,478.54 : x
  2. Step 2: Convert to fraction form
    145,879.22/218,846.28 = 100,478.54/x
  3. Step 3: Cross multiply
    145,879.22x = 218,846.28 × 100,478.54
  4. Step 4: Simplify right side
    145,879.22x = 21,989,354,698.83
  5. Step 5: Solve for x
    x = 21,989,354,698.83/145,879.22
  6. Step 6: Final answer
    x = 150,736.72

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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.