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Finding the Fourth Proportional to 55,302.21, 82,953.60 and 13,749.21

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Solution

The fourth proportional to 55,302.21, 82,953.60 and 13,749.21 is: 20,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302.21 : 82,953.60 = 13,749.21 : x
  2. Step 2: Convert to fraction form
    55,302.21/82,953.60 = 13,749.21/x
  3. Step 3: Cross multiply
    55,302.21x = 82,953.60 × 13,749.21
  4. Step 4: Simplify right side
    55,302.21x = 1,140,546,466.66
  5. Step 5: Solve for x
    x = 1,140,546,466.66/55,302.21
  6. Step 6: Final answer
    x = 20,623.89

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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.