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Finding the Fourth Proportional to 78,410.36, 108,251.14 and 51,630.68

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Solution

The fourth proportional to 78,410.36, 108,251.14 and 51,630.68 is: 71,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,410.36 : 108,251.14 = 51,630.68 : x
  2. Step 2: Convert to fraction form
    78,410.36/108,251.14 = 51,630.68/x
  3. Step 3: Cross multiply
    78,410.36x = 108,251.14 × 51,630.68
  4. Step 4: Simplify right side
    78,410.36x = 5,589,079,968.98
  5. Step 5: Solve for x
    x = 5,589,079,968.98/78,410.36
  6. Step 6: Final answer
    x = 71,279.87

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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.