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Finding the Fourth Proportional to 203,692.15, 305,556 and 83,756.40

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Solution

The fourth proportional to 203,692.15, 305,556 and 83,756.40 is: 125,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,692.15 : 305,556 = 83,756.40 : x
  2. Step 2: Convert to fraction form
    203,692.15/305,556 = 83,756.40/x
  3. Step 3: Cross multiply
    203,692.15x = 305,556 × 83,756.40
  4. Step 4: Simplify right side
    203,692.15x = 25,592,269,030.62
  5. Step 5: Solve for x
    x = 25,592,269,030.62/203,692.15
  6. Step 6: Final answer
    x = 125,641.90

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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.