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Finding the Fourth Proportional to 50,490.88, 75,736.32 and 31,984

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Solution

The fourth proportional to 50,490.88, 75,736.32 and 31,984 is: 47,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,490.88 : 75,736.32 = 31,984 : x
  2. Step 2: Convert to fraction form
    50,490.88/75,736.32 = 31,984/x
  3. Step 3: Cross multiply
    50,490.88x = 75,736.32 × 31,984
  4. Step 4: Simplify right side
    50,490.88x = 2,422,350,458.88
  5. Step 5: Solve for x
    x = 2,422,350,458.88/50,490.88
  6. Step 6: Final answer
    x = 47,976.00

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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.