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Finding the Fourth Proportional to 202,107.10, 278,910 and 111,466.90

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Solution

The fourth proportional to 202,107.10, 278,910 and 111,466.90 is: 153,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,107.10 : 278,910 = 111,466.90 : x
  2. Step 2: Convert to fraction form
    202,107.10/278,910 = 111,466.90/x
  3. Step 3: Cross multiply
    202,107.10x = 278,910 × 111,466.90
  4. Step 4: Simplify right side
    202,107.10x = 31,089,233,079
  5. Step 5: Solve for x
    x = 31,089,233,079/202,107.10
  6. Step 6: Final answer
    x = 153,825.54

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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.