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Finding the Fourth Proportional to 230,844.30, 346,194.45 and 90,645.90

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Solution

The fourth proportional to 230,844.30, 346,194.45 and 90,645.90 is: 135,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,844.30 : 346,194.45 = 90,645.90 : x
  2. Step 2: Convert to fraction form
    230,844.30/346,194.45 = 90,645.90/x
  3. Step 3: Cross multiply
    230,844.30x = 346,194.45 × 90,645.90
  4. Step 4: Simplify right side
    230,844.30x = 31,381,107,495.26
  5. Step 5: Solve for x
    x = 31,381,107,495.26/230,844.30
  6. Step 6: Final answer
    x = 135,940.58

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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.