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Finding the Fourth Proportional to 120,274.74, 165,976.65 and 66,556.53

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Solution

The fourth proportional to 120,274.74, 165,976.65 and 66,556.53 is: 91,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,274.74 : 165,976.65 = 66,556.53 : x
  2. Step 2: Convert to fraction form
    120,274.74/165,976.65 = 66,556.53/x
  3. Step 3: Cross multiply
    120,274.74x = 165,976.65 × 66,556.53
  4. Step 4: Simplify right side
    120,274.74x = 11,046,829,885.02
  5. Step 5: Solve for x
    x = 11,046,829,885.02/120,274.74
  6. Step 6: Final answer
    x = 91,846.63

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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.