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Finding the Fourth Proportional to 81,483.84, 122,237.10 and 37,121.76

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Solution

The fourth proportional to 81,483.84, 122,237.10 and 37,121.76 is: 55,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,483.84 : 122,237.10 = 37,121.76 : x
  2. Step 2: Convert to fraction form
    81,483.84/122,237.10 = 37,121.76/x
  3. Step 3: Cross multiply
    81,483.84x = 122,237.10 × 37,121.76
  4. Step 4: Simplify right side
    81,483.84x = 4,537,656,289.30
  5. Step 5: Solve for x
    x = 4,537,656,289.30/81,483.84
  6. Step 6: Final answer
    x = 55,687.81

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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.