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Finding the Fourth Proportional to 120,494.79, 166,282.80 and 66,787.87

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Solution

The fourth proportional to 120,494.79, 166,282.80 and 66,787.87 is: 92,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,494.79 : 166,282.80 = 66,787.87 : x
  2. Step 2: Convert to fraction form
    120,494.79/166,282.80 = 66,787.87/x
  3. Step 3: Cross multiply
    120,494.79x = 166,282.80 × 66,787.87
  4. Step 4: Simplify right side
    120,494.79x = 11,105,674,029.64
  5. Step 5: Solve for x
    x = 11,105,674,029.64/120,494.79
  6. Step 6: Final answer
    x = 92,167.26

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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.