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Finding the Fourth Proportional to 57,221.70, 85,831.20 and 15,668.70

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Solution

The fourth proportional to 57,221.70, 85,831.20 and 15,668.70 is: 23,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,221.70 : 85,831.20 = 15,668.70 : x
  2. Step 2: Convert to fraction form
    57,221.70/85,831.20 = 15,668.70/x
  3. Step 3: Cross multiply
    57,221.70x = 85,831.20 × 15,668.70
  4. Step 4: Simplify right side
    57,221.70x = 1,344,863,323.44
  5. Step 5: Solve for x
    x = 1,344,863,323.44/57,221.70
  6. Step 6: Final answer
    x = 23,502.68

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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.