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Finding the Fourth Proportional to 275,211.99, 412,743.06 and 75,484.85

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Solution

The fourth proportional to 275,211.99, 412,743.06 and 75,484.85 is: 113,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,211.99 : 412,743.06 = 75,484.85 : x
  2. Step 2: Convert to fraction form
    275,211.99/412,743.06 = 75,484.85/x
  3. Step 3: Cross multiply
    275,211.99x = 412,743.06 × 75,484.85
  4. Step 4: Simplify right side
    275,211.99x = 31,155,845,908.93
  5. Step 5: Solve for x
    x = 31,155,845,908.93/275,211.99
  6. Step 6: Final answer
    x = 113,206.72

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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.