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Finding the Fourth Proportional to 47,425.70, 71,121.80 and 20,784.63

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Solution

The fourth proportional to 47,425.70, 71,121.80 and 20,784.63 is: 31,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,425.70 : 71,121.80 = 20,784.63 : x
  2. Step 2: Convert to fraction form
    47,425.70/71,121.80 = 20,784.63/x
  3. Step 3: Cross multiply
    47,425.70x = 71,121.80 × 20,784.63
  4. Step 4: Simplify right side
    47,425.70x = 1,478,239,899.60
  5. Step 5: Solve for x
    x = 1,478,239,899.60/47,425.70
  6. Step 6: Final answer
    x = 31,169.59

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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.