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Finding the Fourth Proportional to 78,314.84, 108,079.82 and 44,323.36

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Solution

The fourth proportional to 78,314.84, 108,079.82 and 44,323.36 is: 61,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,314.84 : 108,079.82 = 44,323.36 : x
  2. Step 2: Convert to fraction form
    78,314.84/108,079.82 = 44,323.36/x
  3. Step 3: Cross multiply
    78,314.84x = 108,079.82 × 44,323.36
  4. Step 4: Simplify right side
    78,314.84x = 4,790,460,770.60
  5. Step 5: Solve for x
    x = 4,790,460,770.60/78,314.84
  6. Step 6: Final answer
    x = 61,169.26

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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.