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Finding the Fourth Proportional to 201,371.64, 301,868.82 and 68,158.64

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Solution

The fourth proportional to 201,371.64, 301,868.82 and 68,158.64 is: 102,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,371.64 : 301,868.82 = 68,158.64 : x
  2. Step 2: Convert to fraction form
    201,371.64/301,868.82 = 68,158.64/x
  3. Step 3: Cross multiply
    201,371.64x = 301,868.82 × 68,158.64
  4. Step 4: Simplify right side
    201,371.64x = 20,574,966,720.26
  5. Step 5: Solve for x
    x = 20,574,966,720.26/201,371.64
  6. Step 6: Final answer
    x = 102,174.10

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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.