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Finding the Fourth Proportional to 81,561.70, 122,313.17 and 28,239.20

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Solution

The fourth proportional to 81,561.70, 122,313.17 and 28,239.20 is: 42,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,561.70 : 122,313.17 = 28,239.20 : x
  2. Step 2: Convert to fraction form
    81,561.70/122,313.17 = 28,239.20/x
  3. Step 3: Cross multiply
    81,561.70x = 122,313.17 × 28,239.20
  4. Step 4: Simplify right side
    81,561.70x = 3,454,026,070.26
  5. Step 5: Solve for x
    x = 3,454,026,070.26/81,561.70
  6. Step 6: Final answer
    x = 42,348.63

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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.