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Finding the Fourth Proportional to 81,462.94, 122,189.90 and 22,294.38

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Solution

The fourth proportional to 81,462.94, 122,189.90 and 22,294.38 is: 33,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,462.94 : 122,189.90 = 22,294.38 : x
  2. Step 2: Convert to fraction form
    81,462.94/122,189.90 = 22,294.38/x
  3. Step 3: Cross multiply
    81,462.94x = 122,189.90 × 22,294.38
  4. Step 4: Simplify right side
    81,462.94x = 2,724,148,062.76
  5. Step 5: Solve for x
    x = 2,724,148,062.76/81,462.94
  6. Step 6: Final answer
    x = 33,440.34

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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.