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Finding the Fourth Proportional to 76,172.54, 114,257.60 and 20,768.54

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Solution

The fourth proportional to 76,172.54, 114,257.60 and 20,768.54 is: 31,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,172.54 : 114,257.60 = 20,768.54 : x
  2. Step 2: Convert to fraction form
    76,172.54/114,257.60 = 20,768.54/x
  3. Step 3: Cross multiply
    76,172.54x = 114,257.60 × 20,768.54
  4. Step 4: Simplify right side
    76,172.54x = 2,372,963,535.90
  5. Step 5: Solve for x
    x = 2,372,963,535.90/76,172.54
  6. Step 6: Final answer
    x = 31,152.48

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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.