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Finding the Fourth Proportional to 81,300.80, 121,713.60 and 57,972.80

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Solution

The fourth proportional to 81,300.80, 121,713.60 and 57,972.80 is: 86,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,300.80 : 121,713.60 = 57,972.80 : x
  2. Step 2: Convert to fraction form
    81,300.80/121,713.60 = 57,972.80/x
  3. Step 3: Cross multiply
    81,300.80x = 121,713.60 × 57,972.80
  4. Step 4: Simplify right side
    81,300.80x = 7,056,078,190.08
  5. Step 5: Solve for x
    x = 7,056,078,190.08/81,300.80
  6. Step 6: Final answer
    x = 86,789.78

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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.