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Finding the Fourth Proportional to 57,206.88, 85,419 and 51,245.28

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Solution

The fourth proportional to 57,206.88, 85,419 and 51,245.28 is: 76,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206.88 : 85,419 = 51,245.28 : x
  2. Step 2: Convert to fraction form
    57,206.88/85,419 = 51,245.28/x
  3. Step 3: Cross multiply
    57,206.88x = 85,419 × 51,245.28
  4. Step 4: Simplify right side
    57,206.88x = 4,377,320,572.32
  5. Step 5: Solve for x
    x = 4,377,320,572.32/57,206.88
  6. Step 6: Final answer
    x = 76,517.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.