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Finding the Fourth Proportional to 80,301.25, 120,459.30 and 21,137.23

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Solution

The fourth proportional to 80,301.25, 120,459.30 and 21,137.23 is: 31,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,301.25 : 120,459.30 = 21,137.23 : x
  2. Step 2: Convert to fraction form
    80,301.25/120,459.30 = 21,137.23/x
  3. Step 3: Cross multiply
    80,301.25x = 120,459.30 × 21,137.23
  4. Step 4: Simplify right side
    80,301.25x = 2,546,175,929.74
  5. Step 5: Solve for x
    x = 2,546,175,929.74/80,301.25
  6. Step 6: Final answer
    x = 31,707.80

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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.