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Finding the Fourth Proportional to 65,899.90, 90,940.72 and 35,684.98

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Solution

The fourth proportional to 65,899.90, 90,940.72 and 35,684.98 is: 49,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,899.90 : 90,940.72 = 35,684.98 : x
  2. Step 2: Convert to fraction form
    65,899.90/90,940.72 = 35,684.98/x
  3. Step 3: Cross multiply
    65,899.90x = 90,940.72 × 35,684.98
  4. Step 4: Simplify right side
    65,899.90x = 3,245,217,774.39
  5. Step 5: Solve for x
    x = 3,245,217,774.39/65,899.90
  6. Step 6: Final answer
    x = 49,244.65

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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.