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Finding the Fourth Proportional to 219,393.96, 328,842.09 and 100,820.31

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Solution

The fourth proportional to 219,393.96, 328,842.09 and 100,820.31 is: 151,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,393.96 : 328,842.09 = 100,820.31 : x
  2. Step 2: Convert to fraction form
    219,393.96/328,842.09 = 100,820.31/x
  3. Step 3: Cross multiply
    219,393.96x = 328,842.09 × 100,820.31
  4. Step 4: Simplify right side
    219,393.96x = 33,153,961,454.85
  5. Step 5: Solve for x
    x = 33,153,961,454.85/219,393.96
  6. Step 6: Final answer
    x = 151,116.11

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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.