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Finding the Fourth Proportional to 55,504.56, 83,300.56 and 20,468.82

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Solution

The fourth proportional to 55,504.56, 83,300.56 and 20,468.82 is: 30,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,504.56 : 83,300.56 = 20,468.82 : x
  2. Step 2: Convert to fraction form
    55,504.56/83,300.56 = 20,468.82/x
  3. Step 3: Cross multiply
    55,504.56x = 83,300.56 × 20,468.82
  4. Step 4: Simplify right side
    55,504.56x = 1,705,064,168.54
  5. Step 5: Solve for x
    x = 1,705,064,168.54/55,504.56
  6. Step 6: Final answer
    x = 30,719.35

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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.