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Finding the Fourth Proportional to 138,706.31, 208,060 and 33,525.11

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Solution

The fourth proportional to 138,706.31, 208,060 and 33,525.11 is: 50,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.31 : 208,060 = 33,525.11 : x
  2. Step 2: Convert to fraction form
    138,706.31/208,060 = 33,525.11/x
  3. Step 3: Cross multiply
    138,706.31x = 208,060 × 33,525.11
  4. Step 4: Simplify right side
    138,706.31x = 6,975,234,386.60
  5. Step 5: Solve for x
    x = 6,975,234,386.60/138,706.31
  6. Step 6: Final answer
    x = 50,287.79

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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.