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Finding the Fourth Proportional to 120,085.44, 165,785.40 and 79,854

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Solution

The fourth proportional to 120,085.44, 165,785.40 and 79,854 is: 110,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,085.44 : 165,785.40 = 79,854 : x
  2. Step 2: Convert to fraction form
    120,085.44/165,785.40 = 79,854/x
  3. Step 3: Cross multiply
    120,085.44x = 165,785.40 × 79,854
  4. Step 4: Simplify right side
    120,085.44x = 13,238,627,331.60
  5. Step 5: Solve for x
    x = 13,238,627,331.60/120,085.44
  6. Step 6: Final answer
    x = 110,243.40

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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.