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Finding the Fourth Proportional to 105,754.81, 145,939.07 and 68,028.97

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Solution

The fourth proportional to 105,754.81, 145,939.07 and 68,028.97 is: 93,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,754.81 : 145,939.07 = 68,028.97 : x
  2. Step 2: Convert to fraction form
    105,754.81/145,939.07 = 68,028.97/x
  3. Step 3: Cross multiply
    105,754.81x = 145,939.07 × 68,028.97
  4. Step 4: Simplify right side
    105,754.81x = 9,928,084,274.71
  5. Step 5: Solve for x
    x = 9,928,084,274.71/105,754.81
  6. Step 6: Final answer
    x = 93,878.32

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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.