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Finding the Fourth Proportional to 83,782.34, 125,672.41 and 20,603

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Solution

The fourth proportional to 83,782.34, 125,672.41 and 20,603 is: 30,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782.34 : 125,672.41 = 20,603 : x
  2. Step 2: Convert to fraction form
    83,782.34/125,672.41 = 20,603/x
  3. Step 3: Cross multiply
    83,782.34x = 125,672.41 × 20,603
  4. Step 4: Simplify right side
    83,782.34x = 2,589,228,560.22
  5. Step 5: Solve for x
    x = 2,589,228,560.22/83,782.34
  6. Step 6: Final answer
    x = 30,904.23

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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.