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Finding the Fourth Proportional to 65,855.59, 90,880.82 and 35,640.94

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Solution

The fourth proportional to 65,855.59, 90,880.82 and 35,640.94 is: 49,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,855.59 : 90,880.82 = 35,640.94 : x
  2. Step 2: Convert to fraction form
    65,855.59/90,880.82 = 35,640.94/x
  3. Step 3: Cross multiply
    65,855.59x = 90,880.82 × 35,640.94
  4. Step 4: Simplify right side
    65,855.59x = 3,239,078,122.30
  5. Step 5: Solve for x
    x = 3,239,078,122.30/65,855.59
  6. Step 6: Final answer
    x = 49,184.56

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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.