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Finding the Fourth Proportional to 209,100.94, 313,809.14 and 96,859.90

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Solution

The fourth proportional to 209,100.94, 313,809.14 and 96,859.90 is: 145,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,100.94 : 313,809.14 = 96,859.90 : x
  2. Step 2: Convert to fraction form
    209,100.94/313,809.14 = 96,859.90/x
  3. Step 3: Cross multiply
    209,100.94x = 313,809.14 × 96,859.90
  4. Step 4: Simplify right side
    209,100.94x = 30,395,521,919.49
  5. Step 5: Solve for x
    x = 30,395,521,919.49/209,100.94
  6. Step 6: Final answer
    x = 145,362.91

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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.