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Finding the Fourth Proportional to 238,930.30, 357,804.12 and 138,786.76

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Solution

The fourth proportional to 238,930.30, 357,804.12 and 138,786.76 is: 207,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,930.30 : 357,804.12 = 138,786.76 : x
  2. Step 2: Convert to fraction form
    238,930.30/357,804.12 = 138,786.76/x
  3. Step 3: Cross multiply
    238,930.30x = 357,804.12 × 138,786.76
  4. Step 4: Simplify right side
    238,930.30x = 49,658,474,529.45
  5. Step 5: Solve for x
    x = 49,658,474,529.45/238,930.30
  6. Step 6: Final answer
    x = 207,836.66

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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.