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Finding the Fourth Proportional to 55,409.56, 83,065.04 and 20,341

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Solution

The fourth proportional to 55,409.56, 83,065.04 and 20,341 is: 30,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,409.56 : 83,065.04 = 20,341 : x
  2. Step 2: Convert to fraction form
    55,409.56/83,065.04 = 20,341/x
  3. Step 3: Cross multiply
    55,409.56x = 83,065.04 × 20,341
  4. Step 4: Simplify right side
    55,409.56x = 1,689,625,978.64
  5. Step 5: Solve for x
    x = 1,689,625,978.64/55,409.56
  6. Step 6: Final answer
    x = 30,493.40

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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.