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Finding the Fourth Proportional to 85,236.31, 117,676.51 and 75,778.70

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Solution

The fourth proportional to 85,236.31, 117,676.51 and 75,778.70 is: 104,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,236.31 : 117,676.51 = 75,778.70 : x
  2. Step 2: Convert to fraction form
    85,236.31/117,676.51 = 75,778.70/x
  3. Step 3: Cross multiply
    85,236.31x = 117,676.51 × 75,778.70
  4. Step 4: Simplify right side
    85,236.31x = 8,917,372,613.67
  5. Step 5: Solve for x
    x = 8,917,372,613.67/85,236.31
  6. Step 6: Final answer
    x = 104,619.41

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1.5x scale

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.