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Finding the Fourth Proportional to 138,765.18, 208,148.31 and 33,583.98

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Solution

The fourth proportional to 138,765.18, 208,148.31 and 33,583.98 is: 50,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,765.18 : 208,148.31 = 33,583.98 : x
  2. Step 2: Convert to fraction form
    138,765.18/208,148.31 = 33,583.98/x
  3. Step 3: Cross multiply
    138,765.18x = 208,148.31 × 33,583.98
  4. Step 4: Simplify right side
    138,765.18x = 6,990,448,680.07
  5. Step 5: Solve for x
    x = 6,990,448,680.07/138,765.18
  6. Step 6: Final answer
    x = 50,376.10

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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.