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Finding the Fourth Proportional to 120,290.81, 166,045.07 and 69,989.81

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Solution

The fourth proportional to 120,290.81, 166,045.07 and 69,989.81 is: 96,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,290.81 : 166,045.07 = 69,989.81 : x
  2. Step 2: Convert to fraction form
    120,290.81/166,045.07 = 69,989.81/x
  3. Step 3: Cross multiply
    120,290.81x = 166,045.07 × 69,989.81
  4. Step 4: Simplify right side
    120,290.81x = 11,621,462,965.90
  5. Step 5: Solve for x
    x = 11,621,462,965.90/120,290.81
  6. Step 6: Final answer
    x = 96,611.39

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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.