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Finding the Fourth Proportional to 65,170.74, 97,754.40 and 20,800.20

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Solution

The fourth proportional to 65,170.74, 97,754.40 and 20,800.20 is: 31,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,170.74 : 97,754.40 = 20,800.20 : x
  2. Step 2: Convert to fraction form
    65,170.74/97,754.40 = 20,800.20/x
  3. Step 3: Cross multiply
    65,170.74x = 97,754.40 × 20,800.20
  4. Step 4: Simplify right side
    65,170.74x = 2,033,311,070.88
  5. Step 5: Solve for x
    x = 2,033,311,070.88/65,170.74
  6. Step 6: Final answer
    x = 31,199.75

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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.