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Finding the Fourth Proportional to 120,580.81, 166,393.40 and 66,863.83

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Solution

The fourth proportional to 120,580.81, 166,393.40 and 66,863.83 is: 92,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,580.81 : 166,393.40 = 66,863.83 : x
  2. Step 2: Convert to fraction form
    120,580.81/166,393.40 = 66,863.83/x
  3. Step 3: Cross multiply
    120,580.81x = 166,393.40 × 66,863.83
  4. Step 4: Simplify right side
    120,580.81x = 11,125,700,010.72
  5. Step 5: Solve for x
    x = 11,125,700,010.72/120,580.81
  6. Step 6: Final answer
    x = 92,267.58

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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.