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Finding the Fourth Proportional to 84,709.14, 126,981.09 and 40,323.98

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Solution

The fourth proportional to 84,709.14, 126,981.09 and 40,323.98 is: 60,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,709.14 : 126,981.09 = 40,323.98 : x
  2. Step 2: Convert to fraction form
    84,709.14/126,981.09 = 40,323.98/x
  3. Step 3: Cross multiply
    84,709.14x = 126,981.09 × 40,323.98
  4. Step 4: Simplify right side
    84,709.14x = 5,120,382,197.82
  5. Step 5: Solve for x
    x = 5,120,382,197.82/84,709.14
  6. Step 6: Final answer
    x = 60,446.63

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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.