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Finding the Fourth Proportional to 149,868, 224,887.01 and 55,085.85

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Solution

The fourth proportional to 149,868, 224,887.01 and 55,085.85 is: 82,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,868 : 224,887.01 = 55,085.85 : x
  2. Step 2: Convert to fraction form
    149,868/224,887.01 = 55,085.85/x
  3. Step 3: Cross multiply
    149,868x = 224,887.01 × 55,085.85
  4. Step 4: Simplify right side
    149,868x = 12,388,092,099.81
  5. Step 5: Solve for x
    x = 12,388,092,099.81/149,868
  6. Step 6: Final answer
    x = 82,660.02

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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.