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Finding the Fourth Proportional to 129,664, 194,496 and 42,112

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Solution

The fourth proportional to 129,664, 194,496 and 42,112 is: 63,168

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,664 : 194,496 = 42,112 : x
  2. Step 2: Convert to fraction form
    129,664/194,496 = 42,112/x
  3. Step 3: Cross multiply
    129,664x = 194,496 × 42,112
  4. Step 4: Simplify right side
    129,664x = 8,190,615,552
  5. Step 5: Solve for x
    x = 8,190,615,552/129,664
  6. Step 6: Final answer
    x = 63,168

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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.