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Finding the Fourth Proportional to 120,705.65, 166,566.03 and 66,990.70

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Solution

The fourth proportional to 120,705.65, 166,566.03 and 66,990.70 is: 92,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,705.65 : 166,566.03 = 66,990.70 : x
  2. Step 2: Convert to fraction form
    120,705.65/166,566.03 = 66,990.70/x
  3. Step 3: Cross multiply
    120,705.65x = 166,566.03 × 66,990.70
  4. Step 4: Simplify right side
    120,705.65x = 11,158,374,945.92
  5. Step 5: Solve for x
    x = 11,158,374,945.92/120,705.65
  6. Step 6: Final answer
    x = 92,442.86

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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.