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Finding the Fourth Proportional to 219,517.88, 302,933.66 and 118,915.88

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Solution

The fourth proportional to 219,517.88, 302,933.66 and 118,915.88 is: 164,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,517.88 : 302,933.66 = 118,915.88 : x
  2. Step 2: Convert to fraction form
    219,517.88/302,933.66 = 118,915.88/x
  3. Step 3: Cross multiply
    219,517.88x = 302,933.66 × 118,915.88
  4. Step 4: Simplify right side
    219,517.88x = 36,023,622,760.52
  5. Step 5: Solve for x
    x = 36,023,622,760.52/219,517.88
  6. Step 6: Final answer
    x = 164,103.36

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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.