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Finding the Fourth Proportional to 86,112, 129,219.84 and 36,864

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Solution

The fourth proportional to 86,112, 129,219.84 and 36,864 is: 55,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,112 : 129,219.84 = 36,864 : x
  2. Step 2: Convert to fraction form
    86,112/129,219.84 = 36,864/x
  3. Step 3: Cross multiply
    86,112x = 129,219.84 × 36,864
  4. Step 4: Simplify right side
    86,112x = 4,763,560,181.76
  5. Step 5: Solve for x
    x = 4,763,560,181.76/86,112
  6. Step 6: Final answer
    x = 55,318.19

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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.