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Finding the Fourth Proportional to 138,235.38, 207,345.78 and 68,091

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Solution

The fourth proportional to 138,235.38, 207,345.78 and 68,091 is: 102,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,235.38 : 207,345.78 = 68,091 : x
  2. Step 2: Convert to fraction form
    138,235.38/207,345.78 = 68,091/x
  3. Step 3: Cross multiply
    138,235.38x = 207,345.78 × 68,091
  4. Step 4: Simplify right side
    138,235.38x = 14,118,381,505.98
  5. Step 5: Solve for x
    x = 14,118,381,505.98/138,235.38
  6. Step 6: Final answer
    x = 102,132.91

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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.