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Finding the Fourth Proportional to 78,581.44, 108,393.42 and 47,940.58

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Solution

The fourth proportional to 78,581.44, 108,393.42 and 47,940.58 is: 66,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,581.44 : 108,393.42 = 47,940.58 : x
  2. Step 2: Convert to fraction form
    78,581.44/108,393.42 = 47,940.58/x
  3. Step 3: Cross multiply
    78,581.44x = 108,393.42 × 47,940.58
  4. Step 4: Simplify right side
    78,581.44x = 5,196,443,422.98
  5. Step 5: Solve for x
    x = 5,196,443,422.98/78,581.44
  6. Step 6: Final answer
    x = 66,128.13

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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.