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Finding the Fourth Proportional to 71,831.91, 99,128.04 and 41,634.75

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Solution

The fourth proportional to 71,831.91, 99,128.04 and 41,634.75 is: 57,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,831.91 : 99,128.04 = 41,634.75 : x
  2. Step 2: Convert to fraction form
    71,831.91/99,128.04 = 41,634.75/x
  3. Step 3: Cross multiply
    71,831.91x = 99,128.04 × 41,634.75
  4. Step 4: Simplify right side
    71,831.91x = 4,127,171,613.19
  5. Step 5: Solve for x
    x = 4,127,171,613.19/71,831.91
  6. Step 6: Final answer
    x = 57,455.96

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Why These Related Problems?

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