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Finding the Fourth Proportional to 129,672, 194,508 and 42,120

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Solution

The fourth proportional to 129,672, 194,508 and 42,120 is: 63,180

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,672 : 194,508 = 42,120 : x
  2. Step 2: Convert to fraction form
    129,672/194,508 = 42,120/x
  3. Step 3: Cross multiply
    129,672x = 194,508 × 42,120
  4. Step 4: Simplify right side
    129,672x = 8,192,676,960
  5. Step 5: Solve for x
    x = 8,192,676,960/129,672
  6. Step 6: Final answer
    x = 63,180

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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.