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Finding the Fourth Proportional to 105,774.97, 145,990.94 and 71,794.40

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Solution

The fourth proportional to 105,774.97, 145,990.94 and 71,794.40 is: 99,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,774.97 : 145,990.94 = 71,794.40 : x
  2. Step 2: Convert to fraction form
    105,774.97/145,990.94 = 71,794.40/x
  3. Step 3: Cross multiply
    105,774.97x = 145,990.94 × 71,794.40
  4. Step 4: Simplify right side
    105,774.97x = 10,481,332,489.45
  5. Step 5: Solve for x
    x = 10,481,332,489.45/105,774.97
  6. Step 6: Final answer
    x = 99,090.86

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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.