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Finding the Fourth Proportional to 57,057.44, 78,742.88 and 31,907.04

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Solution

The fourth proportional to 57,057.44, 78,742.88 and 31,907.04 is: 44,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.44 : 78,742.88 = 31,907.04 : x
  2. Step 2: Convert to fraction form
    57,057.44/78,742.88 = 31,907.04/x
  3. Step 3: Cross multiply
    57,057.44x = 78,742.88 × 31,907.04
  4. Step 4: Simplify right side
    57,057.44x = 2,512,452,221.88
  5. Step 5: Solve for x
    x = 2,512,452,221.88/57,057.44
  6. Step 6: Final answer
    x = 44,033.74

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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.