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Finding the Fourth Proportional to 72,705.60, 108,864 and 41,497.92

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Solution

The fourth proportional to 72,705.60, 108,864 and 41,497.92 is: 62,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,705.60 : 108,864 = 41,497.92 : x
  2. Step 2: Convert to fraction form
    72,705.60/108,864 = 41,497.92/x
  3. Step 3: Cross multiply
    72,705.60x = 108,864 × 41,497.92
  4. Step 4: Simplify right side
    72,705.60x = 4,517,629,562.88
  5. Step 5: Solve for x
    x = 4,517,629,562.88/72,705.60
  6. Step 6: Final answer
    x = 62,135.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.