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Finding the Fourth Proportional to 131,941.26, 198,018.81 and 65,378.70

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Solution

The fourth proportional to 131,941.26, 198,018.81 and 65,378.70 is: 98,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,941.26 : 198,018.81 = 65,378.70 : x
  2. Step 2: Convert to fraction form
    131,941.26/198,018.81 = 65,378.70/x
  3. Step 3: Cross multiply
    131,941.26x = 198,018.81 × 65,378.70
  4. Step 4: Simplify right side
    131,941.26x = 12,946,212,373.35
  5. Step 5: Solve for x
    x = 12,946,212,373.35/131,941.26
  6. Step 6: Final answer
    x = 98,121.03

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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.