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Finding the Fourth Proportional to 209,109.85, 313,488.45 and 90,692.00

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Solution

The fourth proportional to 209,109.85, 313,488.45 and 90,692.00 is: 135,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,109.85 : 313,488.45 = 90,692.00 : x
  2. Step 2: Convert to fraction form
    209,109.85/313,488.45 = 90,692.00/x
  3. Step 3: Cross multiply
    209,109.85x = 313,488.45 × 90,692.00
  4. Step 4: Simplify right side
    209,109.85x = 28,430,896,133.99
  5. Step 5: Solve for x
    x = 28,430,896,133.99/209,109.85
  6. Step 6: Final answer
    x = 135,961.53

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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.