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Finding the Fourth Proportional to 105,163.96, 145,129.62 and 57,419.80

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Solution

The fourth proportional to 105,163.96, 145,129.62 and 57,419.80 is: 79,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,163.96 : 145,129.62 = 57,419.80 : x
  2. Step 2: Convert to fraction form
    105,163.96/145,129.62 = 57,419.80/x
  3. Step 3: Cross multiply
    105,163.96x = 145,129.62 × 57,419.80
  4. Step 4: Simplify right side
    105,163.96x = 8,333,313,754.48
  5. Step 5: Solve for x
    x = 8,333,313,754.48/105,163.96
  6. Step 6: Final answer
    x = 79,241.16

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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.