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Finding the Fourth Proportional to 122,994.72, 169,724.16 and 72,684

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Solution

The fourth proportional to 122,994.72, 169,724.16 and 72,684 is: 100,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,994.72 : 169,724.16 = 72,684 : x
  2. Step 2: Convert to fraction form
    122,994.72/169,724.16 = 72,684/x
  3. Step 3: Cross multiply
    122,994.72x = 169,724.16 × 72,684
  4. Step 4: Simplify right side
    122,994.72x = 12,336,230,845.44
  5. Step 5: Solve for x
    x = 12,336,230,845.44/122,994.72
  6. Step 6: Final answer
    x = 100,298.87

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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.