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Finding the Fourth Proportional to 78,168, 107,871.84 and 44,634

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Solution

The fourth proportional to 78,168, 107,871.84 and 44,634 is: 61,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,168 : 107,871.84 = 44,634 : x
  2. Step 2: Convert to fraction form
    78,168/107,871.84 = 44,634/x
  3. Step 3: Cross multiply
    78,168x = 107,871.84 × 44,634
  4. Step 4: Simplify right side
    78,168x = 4,814,751,706.56
  5. Step 5: Solve for x
    x = 4,814,751,706.56/78,168
  6. Step 6: Final answer
    x = 61,594.92

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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.