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Finding the Fourth Proportional to 120,362.10, 166,097.66 and 66,645.96

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Solution

The fourth proportional to 120,362.10, 166,097.66 and 66,645.96 is: 91,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,362.10 : 166,097.66 = 66,645.96 : x
  2. Step 2: Convert to fraction form
    120,362.10/166,097.66 = 66,645.96/x
  3. Step 3: Cross multiply
    120,362.10x = 166,097.66 × 66,645.96
  4. Step 4: Simplify right side
    120,362.10x = 11,069,737,961.05
  5. Step 5: Solve for x
    x = 11,069,737,961.05/120,362.10
  6. Step 6: Final answer
    x = 91,970.30

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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.