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Finding the Fourth Proportional to 252,633.72, 378,621.48 and 102,698.87

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Solution

The fourth proportional to 252,633.72, 378,621.48 and 102,698.87 is: 153,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,633.72 : 378,621.48 = 102,698.87 : x
  2. Step 2: Convert to fraction form
    252,633.72/378,621.48 = 102,698.87/x
  3. Step 3: Cross multiply
    252,633.72x = 378,621.48 × 102,698.87
  4. Step 4: Simplify right side
    252,633.72x = 38,883,998,153.73
  5. Step 5: Solve for x
    x = 38,883,998,153.73/252,633.72
  6. Step 6: Final answer
    x = 153,914.52

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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.