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Finding the Fourth Proportional to 81,716.68, 112,723.50 and 75,936.93

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Solution

The fourth proportional to 81,716.68, 112,723.50 and 75,936.93 is: 104,750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,716.68 : 112,723.50 = 75,936.93 : x
  2. Step 2: Convert to fraction form
    81,716.68/112,723.50 = 75,936.93/x
  3. Step 3: Cross multiply
    81,716.68x = 112,723.50 × 75,936.93
  4. Step 4: Simplify right side
    81,716.68x = 8,559,876,528.86
  5. Step 5: Solve for x
    x = 8,559,876,528.86/81,716.68
  6. Step 6: Final answer
    x = 104,750.66

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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.