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Finding the Fourth Proportional to 201,156.72, 301,449 and 148,149.36

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Solution

The fourth proportional to 201,156.72, 301,449 and 148,149.36 is: 222,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,156.72 : 301,449 = 148,149.36 : x
  2. Step 2: Convert to fraction form
    201,156.72/301,449 = 148,149.36/x
  3. Step 3: Cross multiply
    201,156.72x = 301,449 × 148,149.36
  4. Step 4: Simplify right side
    201,156.72x = 44,659,476,422.64
  5. Step 5: Solve for x
    x = 44,659,476,422.64/201,156.72
  6. Step 6: Final answer
    x = 222,013.35

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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.