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Finding the Fourth Proportional to 120,478.88, 166,264.49 and 66,758.87

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Solution

The fourth proportional to 120,478.88, 166,264.49 and 66,758.87 is: 92,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,478.88 : 166,264.49 = 66,758.87 : x
  2. Step 2: Convert to fraction form
    120,478.88/166,264.49 = 66,758.87/x
  3. Step 3: Cross multiply
    120,478.88x = 166,264.49 × 66,758.87
  4. Step 4: Simplify right side
    120,478.88x = 11,099,628,809.10
  5. Step 5: Solve for x
    x = 11,099,628,809.10/120,478.88
  6. Step 6: Final answer
    x = 92,129.25

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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.