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Finding the Fourth Proportional to 208,300.12, 312,400.80 and 89,906.80

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Solution

The fourth proportional to 208,300.12, 312,400.80 and 89,906.80 is: 134,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,300.12 : 312,400.80 = 89,906.80 : x
  2. Step 2: Convert to fraction form
    208,300.12/312,400.80 = 89,906.80/x
  3. Step 3: Cross multiply
    208,300.12x = 312,400.80 × 89,906.80
  4. Step 4: Simplify right side
    208,300.12x = 28,086,956,245.44
  5. Step 5: Solve for x
    x = 28,086,956,245.44/208,300.12
  6. Step 6: Final answer
    x = 134,838.89

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1.5x scale

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.