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Finding the Fourth Proportional to 120,556.64, 166,361.50 and 66,838.52

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Solution

The fourth proportional to 120,556.64, 166,361.50 and 66,838.52 is: 92,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,556.64 : 166,361.50 = 66,838.52 : x
  2. Step 2: Convert to fraction form
    120,556.64/166,361.50 = 66,838.52/x
  3. Step 3: Cross multiply
    120,556.64x = 166,361.50 × 66,838.52
  4. Step 4: Simplify right side
    120,556.64x = 11,119,356,444.98
  5. Step 5: Solve for x
    x = 11,119,356,444.98/120,556.64
  6. Step 6: Final answer
    x = 92,233.46

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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.