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Finding the Fourth Proportional to 138,825.84, 208,234.92 and 38,986.80

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Solution

The fourth proportional to 138,825.84, 208,234.92 and 38,986.80 is: 58,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,825.84 : 208,234.92 = 38,986.80 : x
  2. Step 2: Convert to fraction form
    138,825.84/208,234.92 = 38,986.80/x
  3. Step 3: Cross multiply
    138,825.84x = 208,234.92 × 38,986.80
  4. Step 4: Simplify right side
    138,825.84x = 8,118,413,179.06
  5. Step 5: Solve for x
    x = 8,118,413,179.06/138,825.84
  6. Step 6: Final answer
    x = 58,479.12

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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.