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Finding the Fourth Proportional to 57,220.75, 85,854.75 and 30,894.49

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Solution

The fourth proportional to 57,220.75, 85,854.75 and 30,894.49 is: 46,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,220.75 : 85,854.75 = 30,894.49 : x
  2. Step 2: Convert to fraction form
    57,220.75/85,854.75 = 30,894.49/x
  3. Step 3: Cross multiply
    57,220.75x = 85,854.75 × 30,894.49
  4. Step 4: Simplify right side
    57,220.75x = 2,652,438,715.33
  5. Step 5: Solve for x
    x = 2,652,438,715.33/57,220.75
  6. Step 6: Final answer
    x = 46,354.49

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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.