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Finding the Fourth Proportional to 47,489.80, 71,234.70 and 19,784.20

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Solution

The fourth proportional to 47,489.80, 71,234.70 and 19,784.20 is: 29,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,489.80 : 71,234.70 = 19,784.20 : x
  2. Step 2: Convert to fraction form
    47,489.80/71,234.70 = 19,784.20/x
  3. Step 3: Cross multiply
    47,489.80x = 71,234.70 × 19,784.20
  4. Step 4: Simplify right side
    47,489.80x = 1,409,321,551.74
  5. Step 5: Solve for x
    x = 1,409,321,551.74/47,489.80
  6. Step 6: Final answer
    x = 29,676.30

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1.5x scale

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.