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Finding the Fourth Proportional to 105,551.97, 145,661.94 and 57,154.43

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Solution

The fourth proportional to 105,551.97, 145,661.94 and 57,154.43 is: 78,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,551.97 : 145,661.94 = 57,154.43 : x
  2. Step 2: Convert to fraction form
    105,551.97/145,661.94 = 57,154.43/x
  3. Step 3: Cross multiply
    105,551.97x = 145,661.94 × 57,154.43
  4. Step 4: Simplify right side
    105,551.97x = 8,325,224,425.08
  5. Step 5: Solve for x
    x = 8,325,224,425.08/105,551.97
  6. Step 6: Final answer
    x = 78,873.23

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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.