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Finding the Fourth Proportional to 238,129.86, 357,212.07 and 71,930.82

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Solution

The fourth proportional to 238,129.86, 357,212.07 and 71,930.82 is: 107,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,129.86 : 357,212.07 = 71,930.82 : x
  2. Step 2: Convert to fraction form
    238,129.86/357,212.07 = 71,930.82/x
  3. Step 3: Cross multiply
    238,129.86x = 357,212.07 × 71,930.82
  4. Step 4: Simplify right side
    238,129.86x = 25,694,557,109.00
  5. Step 5: Solve for x
    x = 25,694,557,109.00/238,129.86
  6. Step 6: Final answer
    x = 107,901.45

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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.