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Finding the Fourth Proportional to 85,306.96, 117,842.64 and 80,822.80

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Solution

The fourth proportional to 85,306.96, 117,842.64 and 80,822.80 is: 111,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,306.96 : 117,842.64 = 80,822.80 : x
  2. Step 2: Convert to fraction form
    85,306.96/117,842.64 = 80,822.80/x
  3. Step 3: Cross multiply
    85,306.96x = 117,842.64 × 80,822.80
  4. Step 4: Simplify right side
    85,306.96x = 9,524,372,124.19
  5. Step 5: Solve for x
    x = 9,524,372,124.19/85,306.96
  6. Step 6: Final answer
    x = 111,648.24

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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.