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Finding the Fourth Proportional to 199,921.81, 299,898.21 and 66,802.54

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Solution

The fourth proportional to 199,921.81, 299,898.21 and 66,802.54 is: 100,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,921.81 : 299,898.21 = 66,802.54 : x
  2. Step 2: Convert to fraction form
    199,921.81/299,898.21 = 66,802.54/x
  3. Step 3: Cross multiply
    199,921.81x = 299,898.21 × 66,802.54
  4. Step 4: Simplify right side
    199,921.81x = 20,033,962,169.45
  5. Step 5: Solve for x
    x = 20,033,962,169.45/199,921.81
  6. Step 6: Final answer
    x = 100,208.99

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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.