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Finding the Fourth Proportional to 252,617.72, 378,703.62 and 102,983.18

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Solution

The fourth proportional to 252,617.72, 378,703.62 and 102,983.18 is: 154,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,617.72 : 378,703.62 = 102,983.18 : x
  2. Step 2: Convert to fraction form
    252,617.72/378,703.62 = 102,983.18/x
  3. Step 3: Cross multiply
    252,617.72x = 378,703.62 × 102,983.18
  4. Step 4: Simplify right side
    252,617.72x = 39,000,101,171.59
  5. Step 5: Solve for x
    x = 39,000,101,171.59/252,617.72
  6. Step 6: Final answer
    x = 154,383.87

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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.