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Finding the Fourth Proportional to 80,513.31, 120,722.12 and 30,597.08

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Solution

The fourth proportional to 80,513.31, 120,722.12 and 30,597.08 is: 45,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,513.31 : 120,722.12 = 30,597.08 : x
  2. Step 2: Convert to fraction form
    80,513.31/120,722.12 = 30,597.08/x
  3. Step 3: Cross multiply
    80,513.31x = 120,722.12 × 30,597.08
  4. Step 4: Simplify right side
    80,513.31x = 3,693,743,606.81
  5. Step 5: Solve for x
    x = 3,693,743,606.81/80,513.31
  6. Step 6: Final answer
    x = 45,877.43

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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.