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Finding the Fourth Proportional to 65,808, 90,815.40 and 36,000

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Solution

The fourth proportional to 65,808, 90,815.40 and 36,000 is: 49,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808 : 90,815.40 = 36,000 : x
  2. Step 2: Convert to fraction form
    65,808/90,815.40 = 36,000/x
  3. Step 3: Cross multiply
    65,808x = 90,815.40 × 36,000
  4. Step 4: Simplify right side
    65,808x = 3,269,354,400
  5. Step 5: Solve for x
    x = 3,269,354,400/65,808
  6. Step 6: Final answer
    x = 49,680.20

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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.