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Finding the Fourth Proportional to 50,707.80, 76,124.10 and 31,987.80

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Solution

The fourth proportional to 50,707.80, 76,124.10 and 31,987.80 is: 48,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,707.80 : 76,124.10 = 31,987.80 : x
  2. Step 2: Convert to fraction form
    50,707.80/76,124.10 = 31,987.80/x
  3. Step 3: Cross multiply
    50,707.80x = 76,124.10 × 31,987.80
  4. Step 4: Simplify right side
    50,707.80x = 2,435,042,485.98
  5. Step 5: Solve for x
    x = 2,435,042,485.98/50,707.80
  6. Step 6: Final answer
    x = 48,021.06

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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.