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Finding the Fourth Proportional to 80,419.43, 120,633.40 and 21,253.49

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Solution

The fourth proportional to 80,419.43, 120,633.40 and 21,253.49 is: 31,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,419.43 : 120,633.40 = 21,253.49 : x
  2. Step 2: Convert to fraction form
    80,419.43/120,633.40 = 21,253.49/x
  3. Step 3: Cross multiply
    80,419.43x = 120,633.40 × 21,253.49
  4. Step 4: Simplify right side
    80,419.43x = 2,563,880,636.34
  5. Step 5: Solve for x
    x = 2,563,880,636.34/80,419.43
  6. Step 6: Final answer
    x = 31,881.36

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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.