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Finding the Fourth Proportional to 199,399.09, 299,128.51 and 64,418.06

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Solution

The fourth proportional to 199,399.09, 299,128.51 and 64,418.06 is: 96,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,399.09 : 299,128.51 = 64,418.06 : x
  2. Step 2: Convert to fraction form
    199,399.09/299,128.51 = 64,418.06/x
  3. Step 3: Cross multiply
    199,399.09x = 299,128.51 × 64,418.06
  4. Step 4: Simplify right side
    199,399.09x = 19,269,278,304.89
  5. Step 5: Solve for x
    x = 19,269,278,304.89/199,399.09
  6. Step 6: Final answer
    x = 96,636.74

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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.