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Finding the Fourth Proportional to 77,992.16, 116,996.49 and 25,405.76

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Solution

The fourth proportional to 77,992.16, 116,996.49 and 25,405.76 is: 38,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,992.16 : 116,996.49 = 25,405.76 : x
  2. Step 2: Convert to fraction form
    77,992.16/116,996.49 = 25,405.76/x
  3. Step 3: Cross multiply
    77,992.16x = 116,996.49 × 25,405.76
  4. Step 4: Simplify right side
    77,992.16x = 2,972,384,745.78
  5. Step 5: Solve for x
    x = 2,972,384,745.78/77,992.16
  6. Step 6: Final answer
    x = 38,111.33

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1.5x scale

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.