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Finding the Fourth Proportional to 105,825.40, 146,034.48 and 58,079.56

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Solution

The fourth proportional to 105,825.40, 146,034.48 and 58,079.56 is: 80,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,825.40 : 146,034.48 = 58,079.56 : x
  2. Step 2: Convert to fraction form
    105,825.40/146,034.48 = 58,079.56/x
  3. Step 3: Cross multiply
    105,825.40x = 146,034.48 × 58,079.56
  4. Step 4: Simplify right side
    105,825.40x = 8,481,618,343.23
  5. Step 5: Solve for x
    x = 8,481,618,343.23/105,825.40
  6. Step 6: Final answer
    x = 80,147.28

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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.