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Finding the Fourth Proportional to 198,781.37, 298,108.47 and 65,636.81

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Solution

The fourth proportional to 198,781.37, 298,108.47 and 65,636.81 is: 98,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,781.37 : 298,108.47 = 65,636.81 : x
  2. Step 2: Convert to fraction form
    198,781.37/298,108.47 = 65,636.81/x
  3. Step 3: Cross multiply
    198,781.37x = 298,108.47 × 65,636.81
  4. Step 4: Simplify right side
    198,781.37x = 19,566,889,004.78
  5. Step 5: Solve for x
    x = 19,566,889,004.78/198,781.37
  6. Step 6: Final answer
    x = 98,434.22

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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.