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Finding the Fourth Proportional to 147,698.12, 203,822.34 and 84,039.41

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Solution

The fourth proportional to 147,698.12, 203,822.34 and 84,039.41 is: 115,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,698.12 : 203,822.34 = 84,039.41 : x
  2. Step 2: Convert to fraction form
    147,698.12/203,822.34 = 84,039.41/x
  3. Step 3: Cross multiply
    147,698.12x = 203,822.34 × 84,039.41
  4. Step 4: Simplify right side
    147,698.12x = 17,129,109,198.42
  5. Step 5: Solve for x
    x = 17,129,109,198.42/147,698.12
  6. Step 6: Final answer
    x = 115,973.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.