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Finding the Fourth Proportional to 120,362.70, 166,098.50 and 66,646.56

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Solution

The fourth proportional to 120,362.70, 166,098.50 and 66,646.56 is: 91,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,362.70 : 166,098.50 = 66,646.56 : x
  2. Step 2: Convert to fraction form
    120,362.70/166,098.50 = 66,646.56/x
  3. Step 3: Cross multiply
    120,362.70x = 166,098.50 × 66,646.56
  4. Step 4: Simplify right side
    120,362.70x = 11,069,894,185.72
  5. Step 5: Solve for x
    x = 11,069,894,185.72/120,362.70
  6. Step 6: Final answer
    x = 91,971.13

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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.