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Finding the Fourth Proportional to 202,023.85, 278,787.77 and 111,377.70

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Solution

The fourth proportional to 202,023.85, 278,787.77 and 111,377.70 is: 153,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,023.85 : 278,787.77 = 111,377.70 : x
  2. Step 2: Convert to fraction form
    202,023.85/278,787.77 = 111,377.70/x
  3. Step 3: Cross multiply
    202,023.85x = 278,787.77 × 111,377.70
  4. Step 4: Simplify right side
    202,023.85x = 31,050,738,659.90
  5. Step 5: Solve for x
    x = 31,050,738,659.90/202,023.85
  6. Step 6: Final answer
    x = 153,698.38

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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.