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Finding the Fourth Proportional to 120,590, 166,414.20 and 66,883.24

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Solution

The fourth proportional to 120,590, 166,414.20 and 66,883.24 is: 92,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,590 : 166,414.20 = 66,883.24 : x
  2. Step 2: Convert to fraction form
    120,590/166,414.20 = 66,883.24/x
  3. Step 3: Cross multiply
    120,590x = 166,414.20 × 66,883.24
  4. Step 4: Simplify right side
    120,590x = 11,130,320,878.01
  5. Step 5: Solve for x
    x = 11,130,320,878.01/120,590
  6. Step 6: Final answer
    x = 92,298.87

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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.