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Finding the Fourth Proportional to 105,825.46, 146,034.45 and 58,078.90

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Solution

The fourth proportional to 105,825.46, 146,034.45 and 58,078.90 is: 80,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,825.46 : 146,034.45 = 58,078.90 : x
  2. Step 2: Convert to fraction form
    105,825.46/146,034.45 = 58,078.90/x
  3. Step 3: Cross multiply
    105,825.46x = 146,034.45 × 58,078.90
  4. Step 4: Simplify right side
    105,825.46x = 8,481,520,218.11
  5. Step 5: Solve for x
    x = 8,481,520,218.11/105,825.46
  6. Step 6: Final answer
    x = 80,146.31

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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.