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Finding the Fourth Proportional to 120,160.80, 179,852.40 and 110,829.60

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Solution

The fourth proportional to 120,160.80, 179,852.40 and 110,829.60 is: 165,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,160.80 : 179,852.40 = 110,829.60 : x
  2. Step 2: Convert to fraction form
    120,160.80/179,852.40 = 110,829.60/x
  3. Step 3: Cross multiply
    120,160.80x = 179,852.40 × 110,829.60
  4. Step 4: Simplify right side
    120,160.80x = 19,932,969,551.04
  5. Step 5: Solve for x
    x = 19,932,969,551.04/120,160.80
  6. Step 6: Final answer
    x = 165,885.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.