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Finding the Fourth Proportional to 76,415.78, 114,628.80 and 20,255.06

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Solution

The fourth proportional to 76,415.78, 114,628.80 and 20,255.06 is: 30,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.78 : 114,628.80 = 20,255.06 : x
  2. Step 2: Convert to fraction form
    76,415.78/114,628.80 = 20,255.06/x
  3. Step 3: Cross multiply
    76,415.78x = 114,628.80 × 20,255.06
  4. Step 4: Simplify right side
    76,415.78x = 2,321,813,221.73
  5. Step 5: Solve for x
    x = 2,321,813,221.73/76,415.78
  6. Step 6: Final answer
    x = 30,383.95

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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.