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Finding the Fourth Proportional to 122,850, 169,534.92 and 78,198.48

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Solution

The fourth proportional to 122,850, 169,534.92 and 78,198.48 is: 107,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,850 : 169,534.92 = 78,198.48 : x
  2. Step 2: Convert to fraction form
    122,850/169,534.92 = 78,198.48/x
  3. Step 3: Cross multiply
    122,850x = 169,534.92 × 78,198.48
  4. Step 4: Simplify right side
    122,850x = 13,257,373,050.92
  5. Step 5: Solve for x
    x = 13,257,373,050.92/122,850
  6. Step 6: Final answer
    x = 107,915.12

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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.