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Finding the Fourth Proportional to 48,692, 67,194.96 and 28,820

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Solution

The fourth proportional to 48,692, 67,194.96 and 28,820 is: 39,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,692 : 67,194.96 = 28,820 : x
  2. Step 2: Convert to fraction form
    48,692/67,194.96 = 28,820/x
  3. Step 3: Cross multiply
    48,692x = 67,194.96 × 28,820
  4. Step 4: Simplify right side
    48,692x = 1,936,558,747.20
  5. Step 5: Solve for x
    x = 1,936,558,747.20/48,692
  6. Step 6: Final answer
    x = 39,771.60

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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.