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Finding the Fourth Proportional to 200,004.48, 299,975.40 and 66,883.68

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Solution

The fourth proportional to 200,004.48, 299,975.40 and 66,883.68 is: 100,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,004.48 : 299,975.40 = 66,883.68 : x
  2. Step 2: Convert to fraction form
    200,004.48/299,975.40 = 66,883.68/x
  3. Step 3: Cross multiply
    200,004.48x = 299,975.40 × 66,883.68
  4. Step 4: Simplify right side
    200,004.48x = 20,063,458,661.47
  5. Step 5: Solve for x
    x = 20,063,458,661.47/200,004.48
  6. Step 6: Final answer
    x = 100,315.05

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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.