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Finding the Fourth Proportional to 192,749.28, 288,890.64 and 81,708

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Solution

The fourth proportional to 192,749.28, 288,890.64 and 81,708 is: 122,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,749.28 : 288,890.64 = 81,708 : x
  2. Step 2: Convert to fraction form
    192,749.28/288,890.64 = 81,708/x
  3. Step 3: Cross multiply
    192,749.28x = 288,890.64 × 81,708
  4. Step 4: Simplify right side
    192,749.28x = 23,604,676,413.12
  5. Step 5: Solve for x
    x = 23,604,676,413.12/192,749.28
  6. Step 6: Final answer
    x = 122,463.11

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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.