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Finding the Fourth Proportional to 198,781.88, 298,109.22 and 65,637.32

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Solution

The fourth proportional to 198,781.88, 298,109.22 and 65,637.32 is: 98,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,781.88 : 298,109.22 = 65,637.32 : x
  2. Step 2: Convert to fraction form
    198,781.88/298,109.22 = 65,637.32/x
  3. Step 3: Cross multiply
    198,781.88x = 298,109.22 × 65,637.32
  4. Step 4: Simplify right side
    198,781.88x = 19,567,088,777.54
  5. Step 5: Solve for x
    x = 19,567,088,777.54/198,781.88
  6. Step 6: Final answer
    x = 98,434.97

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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.