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Finding the Fourth Proportional to 192,213, 265,251.21 and 111,685.84

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Solution

The fourth proportional to 192,213, 265,251.21 and 111,685.84 is: 154,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,213 : 265,251.21 = 111,685.84 : x
  2. Step 2: Convert to fraction form
    192,213/265,251.21 = 111,685.84/x
  3. Step 3: Cross multiply
    192,213x = 265,251.21 × 111,685.84
  4. Step 4: Simplify right side
    192,213x = 29,624,803,117.92
  5. Step 5: Solve for x
    x = 29,624,803,117.92/192,213
  6. Step 6: Final answer
    x = 154,124.87

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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.