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Finding the Fourth Proportional to 203,692.40, 305,556.38 and 83,756.65

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Solution

The fourth proportional to 203,692.40, 305,556.38 and 83,756.65 is: 125,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,692.40 : 305,556.38 = 83,756.65 : x
  2. Step 2: Convert to fraction form
    203,692.40/305,556.38 = 83,756.65/x
  3. Step 3: Cross multiply
    203,692.40x = 305,556.38 × 83,756.65
  4. Step 4: Simplify right side
    203,692.40x = 25,592,376,828.36
  5. Step 5: Solve for x
    x = 25,592,376,828.36/203,692.40
  6. Step 6: Final answer
    x = 125,642.28

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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.