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Finding the Fourth Proportional to 138,146.61, 206,433.48 and 103,728

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Solution

The fourth proportional to 138,146.61, 206,433.48 and 103,728 is: 155,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,146.61 : 206,433.48 = 103,728 : x
  2. Step 2: Convert to fraction form
    138,146.61/206,433.48 = 103,728/x
  3. Step 3: Cross multiply
    138,146.61x = 206,433.48 × 103,728
  4. Step 4: Simplify right side
    138,146.61x = 21,412,932,013.44
  5. Step 5: Solve for x
    x = 21,412,932,013.44/138,146.61
  6. Step 6: Final answer
    x = 155,001.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.