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Finding the Fourth Proportional to 120,884.94, 166,811.43 and 69,900.98

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Solution

The fourth proportional to 120,884.94, 166,811.43 and 69,900.98 is: 96,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,884.94 : 166,811.43 = 69,900.98 : x
  2. Step 2: Convert to fraction form
    120,884.94/166,811.43 = 69,900.98/x
  3. Step 3: Cross multiply
    120,884.94x = 166,811.43 × 69,900.98
  4. Step 4: Simplify right side
    120,884.94x = 11,660,281,860.27
  5. Step 5: Solve for x
    x = 11,660,281,860.27/120,884.94
  6. Step 6: Final answer
    x = 96,457.69

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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.