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Finding the Fourth Proportional to 120,902.56, 166,669.68 and 84,490.96

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Solution

The fourth proportional to 120,902.56, 166,669.68 and 84,490.96 is: 116,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,902.56 : 166,669.68 = 84,490.96 : x
  2. Step 2: Convert to fraction form
    120,902.56/166,669.68 = 84,490.96/x
  3. Step 3: Cross multiply
    120,902.56x = 166,669.68 × 84,490.96
  4. Step 4: Simplify right side
    120,902.56x = 14,082,081,070.29
  5. Step 5: Solve for x
    x = 14,082,081,070.29/120,902.56
  6. Step 6: Final answer
    x = 116,474.64

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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.