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Finding the Fourth Proportional to 242,021.70, 362,983.95 and 115,661.70

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Solution

The fourth proportional to 242,021.70, 362,983.95 and 115,661.70 is: 173,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,021.70 : 362,983.95 = 115,661.70 : x
  2. Step 2: Convert to fraction form
    242,021.70/362,983.95 = 115,661.70/x
  3. Step 3: Cross multiply
    242,021.70x = 362,983.95 × 115,661.70
  4. Step 4: Simplify right side
    242,021.70x = 41,983,340,729.72
  5. Step 5: Solve for x
    x = 41,983,340,729.72/242,021.70
  6. Step 6: Final answer
    x = 173,469.32

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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.