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Finding the Fourth Proportional to 47,654.46, 71,448.01 and 20,987.74

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Solution

The fourth proportional to 47,654.46, 71,448.01 and 20,987.74 is: 31,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,654.46 : 71,448.01 = 20,987.74 : x
  2. Step 2: Convert to fraction form
    47,654.46/71,448.01 = 20,987.74/x
  3. Step 3: Cross multiply
    47,654.46x = 71,448.01 × 20,987.74
  4. Step 4: Simplify right side
    47,654.46x = 1,499,532,257.40
  5. Step 5: Solve for x
    x = 1,499,532,257.40/47,654.46
  6. Step 6: Final answer
    x = 31,466.78

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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.