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Finding the Fourth Proportional to 76,171.70, 105,117 and 41,716.25

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Solution

The fourth proportional to 76,171.70, 105,117 and 41,716.25 is: 57,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,171.70 : 105,117 = 41,716.25 : x
  2. Step 2: Convert to fraction form
    76,171.70/105,117 = 41,716.25/x
  3. Step 3: Cross multiply
    76,171.70x = 105,117 × 41,716.25
  4. Step 4: Simplify right side
    76,171.70x = 4,385,087,051.25
  5. Step 5: Solve for x
    x = 4,385,087,051.25/76,171.70
  6. Step 6: Final answer
    x = 57,568.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.