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Finding the Fourth Proportional to 78,029.94, 107,645.97 and 49,718.01

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Solution

The fourth proportional to 78,029.94, 107,645.97 and 49,718.01 is: 68,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,029.94 : 107,645.97 = 49,718.01 : x
  2. Step 2: Convert to fraction form
    78,029.94/107,645.97 = 49,718.01/x
  3. Step 3: Cross multiply
    78,029.94x = 107,645.97 × 49,718.01
  4. Step 4: Simplify right side
    78,029.94x = 5,351,943,412.92
  5. Step 5: Solve for x
    x = 5,351,943,412.92/78,029.94
  6. Step 6: Final answer
    x = 68,588.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.