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Finding the Fourth Proportional to 50,493.88, 75,740.82 and 31,987

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Solution

The fourth proportional to 50,493.88, 75,740.82 and 31,987 is: 47,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,493.88 : 75,740.82 = 31,987 : x
  2. Step 2: Convert to fraction form
    50,493.88/75,740.82 = 31,987/x
  3. Step 3: Cross multiply
    50,493.88x = 75,740.82 × 31,987
  4. Step 4: Simplify right side
    50,493.88x = 2,422,721,609.34
  5. Step 5: Solve for x
    x = 2,422,721,609.34/50,493.88
  6. Step 6: Final answer
    x = 47,980.50

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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.