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Finding the Fourth Proportional to 199,908.88, 299,863.16 and 66,764.24

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Solution

The fourth proportional to 199,908.88, 299,863.16 and 66,764.24 is: 100,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,908.88 : 299,863.16 = 66,764.24 : x
  2. Step 2: Convert to fraction form
    199,908.88/299,863.16 = 66,764.24/x
  3. Step 3: Cross multiply
    199,908.88x = 299,863.16 × 66,764.24
  4. Step 4: Simplify right side
    199,908.88x = 20,020,135,981.40
  5. Step 5: Solve for x
    x = 20,020,135,981.40/199,908.88
  6. Step 6: Final answer
    x = 100,146.31

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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.