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Finding the Fourth Proportional to 208,908.76, 313,363.14 and 75,758.80

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Solution

The fourth proportional to 208,908.76, 313,363.14 and 75,758.80 is: 113,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,908.76 : 313,363.14 = 75,758.80 : x
  2. Step 2: Convert to fraction form
    208,908.76/313,363.14 = 75,758.80/x
  3. Step 3: Cross multiply
    208,908.76x = 313,363.14 × 75,758.80
  4. Step 4: Simplify right side
    208,908.76x = 23,740,015,450.63
  5. Step 5: Solve for x
    x = 23,740,015,450.63/208,908.76
  6. Step 6: Final answer
    x = 113,638.20

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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.