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Finding the Fourth Proportional to 209,922.50, 289,692.24 and 114,428.90

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Solution

The fourth proportional to 209,922.50, 289,692.24 and 114,428.90 is: 157,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,922.50 : 289,692.24 = 114,428.90 : x
  2. Step 2: Convert to fraction form
    209,922.50/289,692.24 = 114,428.90/x
  3. Step 3: Cross multiply
    209,922.50x = 289,692.24 × 114,428.90
  4. Step 4: Simplify right side
    209,922.50x = 33,149,164,361.74
  5. Step 5: Solve for x
    x = 33,149,164,361.74/209,922.50
  6. Step 6: Final answer
    x = 157,911.44

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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.