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Finding the Fourth Proportional to 103,156.49, 154,036.31 and 81,857.43

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Solution

The fourth proportional to 103,156.49, 154,036.31 and 81,857.43 is: 122,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,156.49 : 154,036.31 = 81,857.43 : x
  2. Step 2: Convert to fraction form
    103,156.49/154,036.31 = 81,857.43/x
  3. Step 3: Cross multiply
    103,156.49x = 154,036.31 × 81,857.43
  4. Step 4: Simplify right side
    103,156.49x = 12,609,016,054.00
  5. Step 5: Solve for x
    x = 12,609,016,054.00/103,156.49
  6. Step 6: Final answer
    x = 122,231.92

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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.