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Finding the Fourth Proportional to 229,750.40, 344,625.75 and 71,991.16

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Solution

The fourth proportional to 229,750.40, 344,625.75 and 71,991.16 is: 107,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,750.40 : 344,625.75 = 71,991.16 : x
  2. Step 2: Convert to fraction form
    229,750.40/344,625.75 = 71,991.16/x
  3. Step 3: Cross multiply
    229,750.40x = 344,625.75 × 71,991.16
  4. Step 4: Simplify right side
    229,750.40x = 24,810,007,508.37
  5. Step 5: Solve for x
    x = 24,810,007,508.37/229,750.40
  6. Step 6: Final answer
    x = 107,986.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.