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Finding the Fourth Proportional to 81,403.80, 122,105.70 and 57,784.20

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Solution

The fourth proportional to 81,403.80, 122,105.70 and 57,784.20 is: 86,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,403.80 : 122,105.70 = 57,784.20 : x
  2. Step 2: Convert to fraction form
    81,403.80/122,105.70 = 57,784.20/x
  3. Step 3: Cross multiply
    81,403.80x = 122,105.70 × 57,784.20
  4. Step 4: Simplify right side
    81,403.80x = 7,055,780,189.94
  5. Step 5: Solve for x
    x = 7,055,780,189.94/81,403.80
  6. Step 6: Final answer
    x = 86,676.30

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1.5x scale

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.