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Finding the Fourth Proportional to 208,765.45, 313,139.67 and 96,408.73

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Solution

The fourth proportional to 208,765.45, 313,139.67 and 96,408.73 is: 144,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,765.45 : 313,139.67 = 96,408.73 : x
  2. Step 2: Convert to fraction form
    208,765.45/313,139.67 = 96,408.73/x
  3. Step 3: Cross multiply
    208,765.45x = 313,139.67 × 96,408.73
  4. Step 4: Simplify right side
    208,765.45x = 30,189,397,897.32
  5. Step 5: Solve for x
    x = 30,189,397,897.32/208,765.45
  6. Step 6: Final answer
    x = 144,609.17

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1.5x scale

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.