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Finding the Fourth Proportional to 140,676, 211,014 and 42,180

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Solution

The fourth proportional to 140,676, 211,014 and 42,180 is: 63,270

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,676 : 211,014 = 42,180 : x
  2. Step 2: Convert to fraction form
    140,676/211,014 = 42,180/x
  3. Step 3: Cross multiply
    140,676x = 211,014 × 42,180
  4. Step 4: Simplify right side
    140,676x = 8,900,570,520
  5. Step 5: Solve for x
    x = 8,900,570,520/140,676
  6. Step 6: Final answer
    x = 63,270

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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.