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Finding the Fourth Proportional to 51,909.96, 71,638.34 and 31,760.52

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Solution

The fourth proportional to 51,909.96, 71,638.34 and 31,760.52 is: 43,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,909.96 : 71,638.34 = 31,760.52 : x
  2. Step 2: Convert to fraction form
    51,909.96/71,638.34 = 31,760.52/x
  3. Step 3: Cross multiply
    51,909.96x = 71,638.34 × 31,760.52
  4. Step 4: Simplify right side
    51,909.96x = 2,275,270,930.34
  5. Step 5: Solve for x
    x = 2,275,270,930.34/51,909.96
  6. Step 6: Final answer
    x = 43,831.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.