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Finding the Fourth Proportional to 55,410.56, 83,066.54 and 20,342

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Solution

The fourth proportional to 55,410.56, 83,066.54 and 20,342 is: 30,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,410.56 : 83,066.54 = 20,342 : x
  2. Step 2: Convert to fraction form
    55,410.56/83,066.54 = 20,342/x
  3. Step 3: Cross multiply
    55,410.56x = 83,066.54 × 20,342
  4. Step 4: Simplify right side
    55,410.56x = 1,689,739,556.68
  5. Step 5: Solve for x
    x = 1,689,739,556.68/55,410.56
  6. Step 6: Final answer
    x = 30,494.90

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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.