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Finding the Fourth Proportional to 129,836, 194,754 and 42,284

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Solution

The fourth proportional to 129,836, 194,754 and 42,284 is: 63,426

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,836 : 194,754 = 42,284 : x
  2. Step 2: Convert to fraction form
    129,836/194,754 = 42,284/x
  3. Step 3: Cross multiply
    129,836x = 194,754 × 42,284
  4. Step 4: Simplify right side
    129,836x = 8,234,978,136
  5. Step 5: Solve for x
    x = 8,234,978,136/129,836
  6. Step 6: Final answer
    x = 63,426

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.