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Finding the Fourth Proportional to 216,164.84, 324,243.42 and 68,417

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Solution

The fourth proportional to 216,164.84, 324,243.42 and 68,417 is: 102,624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,164.84 : 324,243.42 = 68,417 : x
  2. Step 2: Convert to fraction form
    216,164.84/324,243.42 = 68,417/x
  3. Step 3: Cross multiply
    216,164.84x = 324,243.42 × 68,417
  4. Step 4: Simplify right side
    216,164.84x = 22,183,762,066.14
  5. Step 5: Solve for x
    x = 22,183,762,066.14/216,164.84
  6. Step 6: Final answer
    x = 102,624.28

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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.