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Finding the Fourth Proportional to 242,729.40, 364,029.30 and 74,249.40

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Solution

The fourth proportional to 242,729.40, 364,029.30 and 74,249.40 is: 111,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,729.40 : 364,029.30 = 74,249.40 : x
  2. Step 2: Convert to fraction form
    242,729.40/364,029.30 = 74,249.40/x
  3. Step 3: Cross multiply
    242,729.40x = 364,029.30 × 74,249.40
  4. Step 4: Simplify right side
    242,729.40x = 27,028,957,107.42
  5. Step 5: Solve for x
    x = 27,028,957,107.42/242,729.40
  6. Step 6: Final answer
    x = 111,354.28

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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.