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Finding the Fourth Proportional to 192,546.71, 288,713.31 and 78,774.38

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Solution

The fourth proportional to 192,546.71, 288,713.31 and 78,774.38 is: 118,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,546.71 : 288,713.31 = 78,774.38 : x
  2. Step 2: Convert to fraction form
    192,546.71/288,713.31 = 78,774.38/x
  3. Step 3: Cross multiply
    192,546.71x = 288,713.31 × 78,774.38
  4. Step 4: Simplify right side
    192,546.71x = 22,743,211,993.00
  5. Step 5: Solve for x
    x = 22,743,211,993.00/192,546.71
  6. Step 6: Final answer
    x = 118,117.89

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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.