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Finding the Fourth Proportional to 50,492.88, 75,739.32 and 31,986

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Solution

The fourth proportional to 50,492.88, 75,739.32 and 31,986 is: 47,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492.88 : 75,739.32 = 31,986 : x
  2. Step 2: Convert to fraction form
    50,492.88/75,739.32 = 31,986/x
  3. Step 3: Cross multiply
    50,492.88x = 75,739.32 × 31,986
  4. Step 4: Simplify right side
    50,492.88x = 2,422,597,889.52
  5. Step 5: Solve for x
    x = 2,422,597,889.52/50,492.88
  6. Step 6: Final answer
    x = 47,979.00

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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.