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Finding the Fourth Proportional to 138,834.12, 208,251.12 and 33,653.04

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Solution

The fourth proportional to 138,834.12, 208,251.12 and 33,653.04 is: 50,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,834.12 : 208,251.12 = 33,653.04 : x
  2. Step 2: Convert to fraction form
    138,834.12/208,251.12 = 33,653.04/x
  3. Step 3: Cross multiply
    138,834.12x = 208,251.12 × 33,653.04
  4. Step 4: Simplify right side
    138,834.12x = 7,008,283,271.40
  5. Step 5: Solve for x
    x = 7,008,283,271.40/138,834.12
  6. Step 6: Final answer
    x = 50,479.55

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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.