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Finding the Fourth Proportional to 85,234.69, 117,674.33 and 75,777.13

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Solution

The fourth proportional to 85,234.69, 117,674.33 and 75,777.13 is: 104,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,234.69 : 117,674.33 = 75,777.13 : x
  2. Step 2: Convert to fraction form
    85,234.69/117,674.33 = 75,777.13/x
  3. Step 3: Cross multiply
    85,234.69x = 117,674.33 × 75,777.13
  4. Step 4: Simplify right side
    85,234.69x = 8,917,022,329.00
  5. Step 5: Solve for x
    x = 8,917,022,329.00/85,234.69
  6. Step 6: Final answer
    x = 104,617.29

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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.