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Finding the Fourth Proportional to 138,829.53, 208,244.31 and 33,648.50

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Solution

The fourth proportional to 138,829.53, 208,244.31 and 33,648.50 is: 50,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,829.53 : 208,244.31 = 33,648.50 : x
  2. Step 2: Convert to fraction form
    138,829.53/208,244.31 = 33,648.50/x
  3. Step 3: Cross multiply
    138,829.53x = 208,244.31 × 33,648.50
  4. Step 4: Simplify right side
    138,829.53x = 7,007,107,623.81
  5. Step 5: Solve for x
    x = 7,007,107,623.81/138,829.53
  6. Step 6: Final answer
    x = 50,472.75

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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.