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Finding the Fourth Proportional to 138,849.78, 208,274.71 and 33,668.74

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Solution

The fourth proportional to 138,849.78, 208,274.71 and 33,668.74 is: 50,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,849.78 : 208,274.71 = 33,668.74 : x
  2. Step 2: Convert to fraction form
    138,849.78/208,274.71 = 33,668.74/x
  3. Step 3: Cross multiply
    138,849.78x = 208,274.71 × 33,668.74
  4. Step 4: Simplify right side
    138,849.78x = 7,012,347,059.57
  5. Step 5: Solve for x
    x = 7,012,347,059.57/138,849.78
  6. Step 6: Final answer
    x = 50,503.12

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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.