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Finding the Fourth Proportional to 65,716.20, 98,647.20 and 40,784.40

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Solution

The fourth proportional to 65,716.20, 98,647.20 and 40,784.40 is: 61,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716.20 : 98,647.20 = 40,784.40 : x
  2. Step 2: Convert to fraction form
    65,716.20/98,647.20 = 40,784.40/x
  3. Step 3: Cross multiply
    65,716.20x = 98,647.20 × 40,784.40
  4. Step 4: Simplify right side
    65,716.20x = 4,023,266,863.68
  5. Step 5: Solve for x
    x = 4,023,266,863.68/65,716.20
  6. Step 6: Final answer
    x = 61,221.84

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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.