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Finding the Fourth Proportional to 216,614.28, 324,802.47 and 66,813

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Solution

The fourth proportional to 216,614.28, 324,802.47 and 66,813 is: 100,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,614.28 : 324,802.47 = 66,813 : x
  2. Step 2: Convert to fraction form
    216,614.28/324,802.47 = 66,813/x
  3. Step 3: Cross multiply
    216,614.28x = 324,802.47 × 66,813
  4. Step 4: Simplify right side
    216,614.28x = 21,701,027,428.11
  5. Step 5: Solve for x
    x = 21,701,027,428.11/216,614.28
  6. Step 6: Final answer
    x = 100,182.81

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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.