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Finding the Fourth Proportional to 55,101.60, 82,652.40 and 18,160.80

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Solution

The fourth proportional to 55,101.60, 82,652.40 and 18,160.80 is: 27,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,101.60 : 82,652.40 = 18,160.80 : x
  2. Step 2: Convert to fraction form
    55,101.60/82,652.40 = 18,160.80/x
  3. Step 3: Cross multiply
    55,101.60x = 82,652.40 × 18,160.80
  4. Step 4: Simplify right side
    55,101.60x = 1,501,033,705.92
  5. Step 5: Solve for x
    x = 1,501,033,705.92/55,101.60
  6. Step 6: Final answer
    x = 27,241.20

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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.