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Finding the Fourth Proportional to 120,284.88, 165,915.72 and 82,579.92

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Solution

The fourth proportional to 120,284.88, 165,915.72 and 82,579.92 is: 113,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,284.88 : 165,915.72 = 82,579.92 : x
  2. Step 2: Convert to fraction form
    120,284.88/165,915.72 = 82,579.92/x
  3. Step 3: Cross multiply
    120,284.88x = 165,915.72 × 82,579.92
  4. Step 4: Simplify right side
    120,284.88x = 13,701,306,884.34
  5. Step 5: Solve for x
    x = 13,701,306,884.34/120,284.88
  6. Step 6: Final answer
    x = 113,907.14

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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.