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Finding the Fourth Proportional to 80,642.46, 120,984.14 and 56,996.54

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Solution

The fourth proportional to 80,642.46, 120,984.14 and 56,996.54 is: 85,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,642.46 : 120,984.14 = 56,996.54 : x
  2. Step 2: Convert to fraction form
    80,642.46/120,984.14 = 56,996.54/x
  3. Step 3: Cross multiply
    80,642.46x = 120,984.14 × 56,996.54
  4. Step 4: Simplify right side
    80,642.46x = 6,895,677,374.88
  5. Step 5: Solve for x
    x = 6,895,677,374.88/80,642.46
  6. Step 6: Final answer
    x = 85,509.26

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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.