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Finding the Fourth Proportional to 129,624, 194,436 and 42,072

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Solution

The fourth proportional to 129,624, 194,436 and 42,072 is: 63,108

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,624 : 194,436 = 42,072 : x
  2. Step 2: Convert to fraction form
    129,624/194,436 = 42,072/x
  3. Step 3: Cross multiply
    129,624x = 194,436 × 42,072
  4. Step 4: Simplify right side
    129,624x = 8,180,311,392
  5. Step 5: Solve for x
    x = 8,180,311,392/129,624
  6. Step 6: Final answer
    x = 63,108

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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.