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Finding the Fourth Proportional to 71,177.64, 106,771.32 and 21,256.80

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Solution

The fourth proportional to 71,177.64, 106,771.32 and 21,256.80 is: 31,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,177.64 : 106,771.32 = 21,256.80 : x
  2. Step 2: Convert to fraction form
    71,177.64/106,771.32 = 21,256.80/x
  3. Step 3: Cross multiply
    71,177.64x = 106,771.32 × 21,256.80
  4. Step 4: Simplify right side
    71,177.64x = 2,269,616,594.98
  5. Step 5: Solve for x
    x = 2,269,616,594.98/71,177.64
  6. Step 6: Final answer
    x = 31,886.65

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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.