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Finding the Fourth Proportional to 78,394.85, 108,229.77 and 51,615.20

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Solution

The fourth proportional to 78,394.85, 108,229.77 and 51,615.20 is: 71,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394.85 : 108,229.77 = 51,615.20 : x
  2. Step 2: Convert to fraction form
    78,394.85/108,229.77 = 51,615.20/x
  3. Step 3: Cross multiply
    78,394.85x = 108,229.77 × 51,615.20
  4. Step 4: Simplify right side
    78,394.85x = 5,586,300,683.36
  5. Step 5: Solve for x
    x = 5,586,300,683.36/78,394.85
  6. Step 6: Final answer
    x = 71,258.52

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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.