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Finding the Fourth Proportional to 202,105.48, 278,901.88 and 111,469.84

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Solution

The fourth proportional to 202,105.48, 278,901.88 and 111,469.84 is: 153,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,105.48 : 278,901.88 = 111,469.84 : x
  2. Step 2: Convert to fraction form
    202,105.48/278,901.88 = 111,469.84/x
  3. Step 3: Cross multiply
    202,105.48x = 278,901.88 × 111,469.84
  4. Step 4: Simplify right side
    202,105.48x = 31,089,147,939.30
  5. Step 5: Solve for x
    x = 31,089,147,939.30/202,105.48
  6. Step 6: Final answer
    x = 153,826.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.