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Finding the Fourth Proportional to 142,196.99, 212,668.05 and 126,512.09

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Solution

The fourth proportional to 142,196.99, 212,668.05 and 126,512.09 is: 189,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,196.99 : 212,668.05 = 126,512.09 : x
  2. Step 2: Convert to fraction form
    142,196.99/212,668.05 = 126,512.09/x
  3. Step 3: Cross multiply
    142,196.99x = 212,668.05 × 126,512.09
  4. Step 4: Simplify right side
    142,196.99x = 26,905,078,418.38
  5. Step 5: Solve for x
    x = 26,905,078,418.38/142,196.99
  6. Step 6: Final answer
    x = 189,209.91

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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.