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Finding the Fourth Proportional to 80,271.90, 120,371.40 and 30,335.40

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Solution

The fourth proportional to 80,271.90, 120,371.40 and 30,335.40 is: 45,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,271.90 : 120,371.40 = 30,335.40 : x
  2. Step 2: Convert to fraction form
    80,271.90/120,371.40 = 30,335.40/x
  3. Step 3: Cross multiply
    80,271.90x = 120,371.40 × 30,335.40
  4. Step 4: Simplify right side
    80,271.90x = 3,651,514,567.56
  5. Step 5: Solve for x
    x = 3,651,514,567.56/80,271.90
  6. Step 6: Final answer
    x = 45,489.33

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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.