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Finding the Fourth Proportional to 238,619.61, 357,910.74 and 138,716.10

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Solution

The fourth proportional to 238,619.61, 357,910.74 and 138,716.10 is: 208,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,619.61 : 357,910.74 = 138,716.10 : x
  2. Step 2: Convert to fraction form
    238,619.61/357,910.74 = 138,716.10/x
  3. Step 3: Cross multiply
    238,619.61x = 357,910.74 × 138,716.10
  4. Step 4: Simplify right side
    238,619.61x = 49,647,982,000.91
  5. Step 5: Solve for x
    x = 49,647,982,000.91/238,619.61
  6. Step 6: Final answer
    x = 208,063.29

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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.