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Finding the Fourth Proportional to 80,573.78, 120,842.44 and 30,636.06

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Solution

The fourth proportional to 80,573.78, 120,842.44 and 30,636.06 is: 45,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,573.78 : 120,842.44 = 30,636.06 : x
  2. Step 2: Convert to fraction form
    80,573.78/120,842.44 = 30,636.06/x
  3. Step 3: Cross multiply
    80,573.78x = 120,842.44 × 30,636.06
  4. Step 4: Simplify right side
    80,573.78x = 3,702,136,242.39
  5. Step 5: Solve for x
    x = 3,702,136,242.39/80,573.78
  6. Step 6: Final answer
    x = 45,947.16

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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.