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Finding the Fourth Proportional to 76,172.05, 114,256.84 and 20,768.05

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Solution

The fourth proportional to 76,172.05, 114,256.84 and 20,768.05 is: 31,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,172.05 : 114,256.84 = 20,768.05 : x
  2. Step 2: Convert to fraction form
    76,172.05/114,256.84 = 20,768.05/x
  3. Step 3: Cross multiply
    76,172.05x = 114,256.84 × 20,768.05
  4. Step 4: Simplify right side
    76,172.05x = 2,372,891,765.96
  5. Step 5: Solve for x
    x = 2,372,891,765.96/76,172.05
  6. Step 6: Final answer
    x = 31,151.74

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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.