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Finding the Fourth Proportional to 138,725.98, 208,037.94 and 49,955.68

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Solution

The fourth proportional to 138,725.98, 208,037.94 and 49,955.68 is: 74,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,725.98 : 208,037.94 = 49,955.68 : x
  2. Step 2: Convert to fraction form
    138,725.98/208,037.94 = 49,955.68/x
  3. Step 3: Cross multiply
    138,725.98x = 208,037.94 × 49,955.68
  4. Step 4: Simplify right side
    138,725.98x = 10,392,676,758.50
  5. Step 5: Solve for x
    x = 10,392,676,758.50/138,725.98
  6. Step 6: Final answer
    x = 74,915.14

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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.