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Finding the Fourth Proportional to 120,657.98, 166,504.83 and 66,209.98

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Solution

The fourth proportional to 120,657.98, 166,504.83 and 66,209.98 is: 91,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,657.98 : 166,504.83 = 66,209.98 : x
  2. Step 2: Convert to fraction form
    120,657.98/166,504.83 = 66,209.98/x
  3. Step 3: Cross multiply
    120,657.98x = 166,504.83 × 66,209.98
  4. Step 4: Simplify right side
    120,657.98x = 11,024,281,464.20
  5. Step 5: Solve for x
    x = 11,024,281,464.20/120,657.98
  6. Step 6: Final answer
    x = 91,368.03

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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.