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Finding the Fourth Proportional to 82,222.80, 123,391.80 and 52,712.40

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Solution

The fourth proportional to 82,222.80, 123,391.80 and 52,712.40 is: 79,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222.80 : 123,391.80 = 52,712.40 : x
  2. Step 2: Convert to fraction form
    82,222.80/123,391.80 = 52,712.40/x
  3. Step 3: Cross multiply
    82,222.80x = 123,391.80 × 52,712.40
  4. Step 4: Simplify right side
    82,222.80x = 6,504,277,918.32
  5. Step 5: Solve for x
    x = 6,504,277,918.32/82,222.80
  6. Step 6: Final answer
    x = 79,105.53

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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.