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Finding the Fourth Proportional to 78,474.44, 108,295.38 and 42,664.44

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Solution

The fourth proportional to 78,474.44, 108,295.38 and 42,664.44 is: 58,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,474.44 : 108,295.38 = 42,664.44 : x
  2. Step 2: Convert to fraction form
    78,474.44/108,295.38 = 42,664.44/x
  3. Step 3: Cross multiply
    78,474.44x = 108,295.38 × 42,664.44
  4. Step 4: Simplify right side
    78,474.44x = 4,620,361,742.29
  5. Step 5: Solve for x
    x = 4,620,361,742.29/78,474.44
  6. Step 6: Final answer
    x = 58,877.28

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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.