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Finding the Fourth Proportional to 81,294.94, 122,002.31 and 38,600.55

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Solution

The fourth proportional to 81,294.94, 122,002.31 and 38,600.55 is: 57,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,294.94 : 122,002.31 = 38,600.55 : x
  2. Step 2: Convert to fraction form
    81,294.94/122,002.31 = 38,600.55/x
  3. Step 3: Cross multiply
    81,294.94x = 122,002.31 × 38,600.55
  4. Step 4: Simplify right side
    81,294.94x = 4,709,356,267.27
  5. Step 5: Solve for x
    x = 4,709,356,267.27/81,294.94
  6. Step 6: Final answer
    x = 57,929.27

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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.