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Finding the Fourth Proportional to 216,212.84, 324,315.42 and 68,465

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Solution

The fourth proportional to 216,212.84, 324,315.42 and 68,465 is: 102,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,212.84 : 324,315.42 = 68,465 : x
  2. Step 2: Convert to fraction form
    216,212.84/324,315.42 = 68,465/x
  3. Step 3: Cross multiply
    216,212.84x = 324,315.42 × 68,465
  4. Step 4: Simplify right side
    216,212.84x = 22,204,255,230.30
  5. Step 5: Solve for x
    x = 22,204,255,230.30/216,212.84
  6. Step 6: Final answer
    x = 102,696.28

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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.