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Finding the Fourth Proportional to 72,112, 108,168 and 22,864

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Solution

The fourth proportional to 72,112, 108,168 and 22,864 is: 34,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,112 : 108,168 = 22,864 : x
  2. Step 2: Convert to fraction form
    72,112/108,168 = 22,864/x
  3. Step 3: Cross multiply
    72,112x = 108,168 × 22,864
  4. Step 4: Simplify right side
    72,112x = 2,473,153,152
  5. Step 5: Solve for x
    x = 2,473,153,152/72,112
  6. Step 6: Final answer
    x = 34,296

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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.