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Finding the Fourth Proportional to 198,714.93, 298,009.17 and 65,570.37

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Solution

The fourth proportional to 198,714.93, 298,009.17 and 65,570.37 is: 98,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,714.93 : 298,009.17 = 65,570.37 : x
  2. Step 2: Convert to fraction form
    198,714.93/298,009.17 = 65,570.37/x
  3. Step 3: Cross multiply
    198,714.93x = 298,009.17 × 65,570.37
  4. Step 4: Simplify right side
    198,714.93x = 19,540,571,540.29
  5. Step 5: Solve for x
    x = 19,540,571,540.29/198,714.93
  6. Step 6: Final answer
    x = 98,334.69

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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.