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Finding the Fourth Proportional to 65,198.20, 97,797.30 and 31,939.60

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Solution

The fourth proportional to 65,198.20, 97,797.30 and 31,939.60 is: 47,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198.20 : 97,797.30 = 31,939.60 : x
  2. Step 2: Convert to fraction form
    65,198.20/97,797.30 = 31,939.60/x
  3. Step 3: Cross multiply
    65,198.20x = 97,797.30 × 31,939.60
  4. Step 4: Simplify right side
    65,198.20x = 3,123,606,643.08
  5. Step 5: Solve for x
    x = 3,123,606,643.08/65,198.20
  6. Step 6: Final answer
    x = 47,909.40

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1.5x scale

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.