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Finding the Fourth Proportional to 76,360, 114,542.16 and 20,956

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Solution

The fourth proportional to 76,360, 114,542.16 and 20,956 is: 31,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,360 : 114,542.16 = 20,956 : x
  2. Step 2: Convert to fraction form
    76,360/114,542.16 = 20,956/x
  3. Step 3: Cross multiply
    76,360x = 114,542.16 × 20,956
  4. Step 4: Simplify right side
    76,360x = 2,400,345,504.96
  5. Step 5: Solve for x
    x = 2,400,345,504.96/76,360
  6. Step 6: Final answer
    x = 31,434.59

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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.