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Finding the Fourth Proportional to 84,051, 125,991.42 and 54,487.60

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Solution

The fourth proportional to 84,051, 125,991.42 and 54,487.60 is: 81,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,051 : 125,991.42 = 54,487.60 : x
  2. Step 2: Convert to fraction form
    84,051/125,991.42 = 54,487.60/x
  3. Step 3: Cross multiply
    84,051x = 125,991.42 × 54,487.60
  4. Step 4: Simplify right side
    84,051x = 6,864,970,096.39
  5. Step 5: Solve for x
    x = 6,864,970,096.39/84,051
  6. Step 6: Final answer
    x = 81,676.25

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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.