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Finding the Fourth Proportional to 71,203.76, 106,809.52 and 21,287.74

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Solution

The fourth proportional to 71,203.76, 106,809.52 and 21,287.74 is: 31,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.76 : 106,809.52 = 21,287.74 : x
  2. Step 2: Convert to fraction form
    71,203.76/106,809.52 = 21,287.74/x
  3. Step 3: Cross multiply
    71,203.76x = 106,809.52 × 21,287.74
  4. Step 4: Simplify right side
    71,203.76x = 2,273,733,291.28
  5. Step 5: Solve for x
    x = 2,273,733,291.28/71,203.76
  6. Step 6: Final answer
    x = 31,932.77

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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.