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Finding the Fourth Proportional to 198,781.49, 298,108.65 and 65,636.93

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Solution

The fourth proportional to 198,781.49, 298,108.65 and 65,636.93 is: 98,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,781.49 : 298,108.65 = 65,636.93 : x
  2. Step 2: Convert to fraction form
    198,781.49/298,108.65 = 65,636.93/x
  3. Step 3: Cross multiply
    198,781.49x = 298,108.65 × 65,636.93
  4. Step 4: Simplify right side
    198,781.49x = 19,566,937,583.85
  5. Step 5: Solve for x
    x = 19,566,937,583.85/198,781.49
  6. Step 6: Final answer
    x = 98,434.40

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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.