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Finding the Fourth Proportional to 57,093.78, 78,770.34 and 33,215.40

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Solution

The fourth proportional to 57,093.78, 78,770.34 and 33,215.40 is: 45,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,093.78 : 78,770.34 = 33,215.40 : x
  2. Step 2: Convert to fraction form
    57,093.78/78,770.34 = 33,215.40/x
  3. Step 3: Cross multiply
    57,093.78x = 78,770.34 × 33,215.40
  4. Step 4: Simplify right side
    57,093.78x = 2,616,388,351.24
  5. Step 5: Solve for x
    x = 2,616,388,351.24/57,093.78
  6. Step 6: Final answer
    x = 45,826.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.