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Finding the Fourth Proportional to 81,708.20, 122,591.10 and 78,828.20

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Solution

The fourth proportional to 81,708.20, 122,591.10 and 78,828.20 is: 118,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,708.20 : 122,591.10 = 78,828.20 : x
  2. Step 2: Convert to fraction form
    81,708.20/122,591.10 = 78,828.20/x
  3. Step 3: Cross multiply
    81,708.20x = 122,591.10 × 78,828.20
  4. Step 4: Simplify right side
    81,708.20x = 9,663,635,749.02
  5. Step 5: Solve for x
    x = 9,663,635,749.02/81,708.20
  6. Step 6: Final answer
    x = 118,270.08

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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.