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Finding the Fourth Proportional to 238,542.91, 357,858.25 and 78,628.34

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Solution

The fourth proportional to 238,542.91, 357,858.25 and 78,628.34 is: 117,956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,542.91 : 357,858.25 = 78,628.34 : x
  2. Step 2: Convert to fraction form
    238,542.91/357,858.25 = 78,628.34/x
  3. Step 3: Cross multiply
    238,542.91x = 357,858.25 × 78,628.34
  4. Step 4: Simplify right side
    238,542.91x = 28,137,800,850.88
  5. Step 5: Solve for x
    x = 28,137,800,850.88/238,542.91
  6. Step 6: Final answer
    x = 117,956.98

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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.