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Finding the Fourth Proportional to 52,108.71, 71,911.36 and 31,976.71

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Solution

The fourth proportional to 52,108.71, 71,911.36 and 31,976.71 is: 44,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,108.71 : 71,911.36 = 31,976.71 : x
  2. Step 2: Convert to fraction form
    52,108.71/71,911.36 = 31,976.71/x
  3. Step 3: Cross multiply
    52,108.71x = 71,911.36 × 31,976.71
  4. Step 4: Simplify right side
    52,108.71x = 2,299,488,704.43
  5. Step 5: Solve for x
    x = 2,299,488,704.43/52,108.71
  6. Step 6: Final answer
    x = 44,128.68

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1.5x scale

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.