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Finding the Fourth Proportional to 209,892.39, 289,692.84 and 146,193.27

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Solution

The fourth proportional to 209,892.39, 289,692.84 and 146,193.27 is: 201,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892.39 : 289,692.84 = 146,193.27 : x
  2. Step 2: Convert to fraction form
    209,892.39/289,692.84 = 146,193.27/x
  3. Step 3: Cross multiply
    209,892.39x = 289,692.84 × 146,193.27
  4. Step 4: Simplify right side
    209,892.39x = 42,351,143,575.19
  5. Step 5: Solve for x
    x = 42,351,143,575.19/209,892.39
  6. Step 6: Final answer
    x = 201,775.51

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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.