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Finding the Fourth Proportional to 199,933.44, 299,915.61 and 66,814.16

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Solution

The fourth proportional to 199,933.44, 299,915.61 and 66,814.16 is: 100,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,933.44 : 299,915.61 = 66,814.16 : x
  2. Step 2: Convert to fraction form
    199,933.44/299,915.61 = 66,814.16/x
  3. Step 3: Cross multiply
    199,933.44x = 299,915.61 × 66,814.16
  4. Step 4: Simplify right side
    199,933.44x = 20,038,608,053.46
  5. Step 5: Solve for x
    x = 20,038,608,053.46/199,933.44
  6. Step 6: Final answer
    x = 100,226.40

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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.