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Finding the Fourth Proportional to 20,459.20, 30,717.60 and 16,081.60

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Solution

The fourth proportional to 20,459.20, 30,717.60 and 16,081.60 is: 24,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.20 : 30,717.60 = 16,081.60 : x
  2. Step 2: Convert to fraction form
    20,459.20/30,717.60 = 16,081.60/x
  3. Step 3: Cross multiply
    20,459.20x = 30,717.60 × 16,081.60
  4. Step 4: Simplify right side
    20,459.20x = 493,988,156.16
  5. Step 5: Solve for x
    x = 493,988,156.16/20,459.20
  6. Step 6: Final answer
    x = 24,145.04

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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.