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Finding the Fourth Proportional to 224,568.56, 309,916.32 and 129,107.36

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Solution

The fourth proportional to 224,568.56, 309,916.32 and 129,107.36 is: 178,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,568.56 : 309,916.32 = 129,107.36 : x
  2. Step 2: Convert to fraction form
    224,568.56/309,916.32 = 129,107.36/x
  3. Step 3: Cross multiply
    224,568.56x = 309,916.32 × 129,107.36
  4. Step 4: Simplify right side
    224,568.56x = 40,012,477,896.12
  5. Step 5: Solve for x
    x = 40,012,477,896.12/224,568.56
  6. Step 6: Final answer
    x = 178,174.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.