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Finding the Fourth Proportional to 209,157.84, 313,773.24 and 68,878.80

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Solution

The fourth proportional to 209,157.84, 313,773.24 and 68,878.80 is: 103,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,157.84 : 313,773.24 = 68,878.80 : x
  2. Step 2: Convert to fraction form
    209,157.84/313,773.24 = 68,878.80/x
  3. Step 3: Cross multiply
    209,157.84x = 313,773.24 × 68,878.80
  4. Step 4: Simplify right side
    209,157.84x = 21,612,324,243.31
  5. Step 5: Solve for x
    x = 21,612,324,243.31/209,157.84
  6. Step 6: Final answer
    x = 103,330.21

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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.