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Finding the Fourth Proportional to 57,228.75, 85,866.75 and 30,902.49

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Solution

The fourth proportional to 57,228.75, 85,866.75 and 30,902.49 is: 46,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,228.75 : 85,866.75 = 30,902.49 : x
  2. Step 2: Convert to fraction form
    57,228.75/85,866.75 = 30,902.49/x
  3. Step 3: Cross multiply
    57,228.75x = 85,866.75 × 30,902.49
  4. Step 4: Simplify right side
    57,228.75x = 2,653,496,383.21
  5. Step 5: Solve for x
    x = 2,653,496,383.21/57,228.75
  6. Step 6: Final answer
    x = 46,366.49

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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.