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Finding the Fourth Proportional to 252,403.45, 378,523.29 and 83,878.49

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Solution

The fourth proportional to 252,403.45, 378,523.29 and 83,878.49 is: 125,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,403.45 : 378,523.29 = 83,878.49 : x
  2. Step 2: Convert to fraction form
    252,403.45/378,523.29 = 83,878.49/x
  3. Step 3: Cross multiply
    252,403.45x = 378,523.29 × 83,878.49
  4. Step 4: Simplify right side
    252,403.45x = 31,749,961,995.03
  5. Step 5: Solve for x
    x = 31,749,961,995.03/252,403.45
  6. Step 6: Final answer
    x = 125,790.52

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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.