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Finding the Fourth Proportional to 72,425.76, 108,634.41 and 19,831.38

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Solution

The fourth proportional to 72,425.76, 108,634.41 and 19,831.38 is: 29,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,425.76 : 108,634.41 = 19,831.38 : x
  2. Step 2: Convert to fraction form
    72,425.76/108,634.41 = 19,831.38/x
  3. Step 3: Cross multiply
    72,425.76x = 108,634.41 × 19,831.38
  4. Step 4: Simplify right side
    72,425.76x = 2,154,370,265.79
  5. Step 5: Solve for x
    x = 2,154,370,265.79/72,425.76
  6. Step 6: Final answer
    x = 29,745.91

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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.