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Finding the Fourth Proportional to 55,773, 83,615.28 and 20,228.76

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Solution

The fourth proportional to 55,773, 83,615.28 and 20,228.76 is: 30,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,773 : 83,615.28 = 20,228.76 : x
  2. Step 2: Convert to fraction form
    55,773/83,615.28 = 20,228.76/x
  3. Step 3: Cross multiply
    55,773x = 83,615.28 × 20,228.76
  4. Step 4: Simplify right side
    55,773x = 1,691,433,431.45
  5. Step 5: Solve for x
    x = 1,691,433,431.45/55,773
  6. Step 6: Final answer
    x = 30,327.10

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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.