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Finding the Fourth Proportional to 199,578.32, 299,415.34 and 66,459.80

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Solution

The fourth proportional to 199,578.32, 299,415.34 and 66,459.80 is: 99,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,578.32 : 299,415.34 = 66,459.80 : x
  2. Step 2: Convert to fraction form
    199,578.32/299,415.34 = 66,459.80/x
  3. Step 3: Cross multiply
    199,578.32x = 299,415.34 × 66,459.80
  4. Step 4: Simplify right side
    199,578.32x = 19,899,083,613.33
  5. Step 5: Solve for x
    x = 19,899,083,613.33/199,578.32
  6. Step 6: Final answer
    x = 99,705.64

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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.