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Finding the Fourth Proportional to 65,863, 90,890.94 and 36,055

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Solution

The fourth proportional to 65,863, 90,890.94 and 36,055 is: 49,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,863 : 90,890.94 = 36,055 : x
  2. Step 2: Convert to fraction form
    65,863/90,890.94 = 36,055/x
  3. Step 3: Cross multiply
    65,863x = 90,890.94 × 36,055
  4. Step 4: Simplify right side
    65,863x = 3,277,072,841.70
  5. Step 5: Solve for x
    x = 3,277,072,841.70/65,863
  6. Step 6: Final answer
    x = 49,755.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.