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Finding the Fourth Proportional to 71,220.76, 106,755.80 and 26,828.30

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Solution

The fourth proportional to 71,220.76, 106,755.80 and 26,828.30 is: 40,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,220.76 : 106,755.80 = 26,828.30 : x
  2. Step 2: Convert to fraction form
    71,220.76/106,755.80 = 26,828.30/x
  3. Step 3: Cross multiply
    71,220.76x = 106,755.80 × 26,828.30
  4. Step 4: Simplify right side
    71,220.76x = 2,864,076,629.14
  5. Step 5: Solve for x
    x = 2,864,076,629.14/71,220.76
  6. Step 6: Final answer
    x = 40,214.07

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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.