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Finding the Fourth Proportional to 120,819, 166,732.47 and 67,108.98

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Solution

The fourth proportional to 120,819, 166,732.47 and 67,108.98 is: 92,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,819 : 166,732.47 = 67,108.98 : x
  2. Step 2: Convert to fraction form
    120,819/166,732.47 = 67,108.98/x
  3. Step 3: Cross multiply
    120,819x = 166,732.47 × 67,108.98
  4. Step 4: Simplify right side
    120,819x = 11,189,245,994.58
  5. Step 5: Solve for x
    x = 11,189,245,994.58/120,819
  6. Step 6: Final answer
    x = 92,611.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.