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Finding the Fourth Proportional to 102,918.62, 154,218.49 and 71,389.97

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Solution

The fourth proportional to 102,918.62, 154,218.49 and 71,389.97 is: 106,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,918.62 : 154,218.49 = 71,389.97 : x
  2. Step 2: Convert to fraction form
    102,918.62/154,218.49 = 71,389.97/x
  3. Step 3: Cross multiply
    102,918.62x = 154,218.49 × 71,389.97
  4. Step 4: Simplify right side
    102,918.62x = 11,009,653,374.55
  5. Step 5: Solve for x
    x = 11,009,653,374.55/102,918.62
  6. Step 6: Final answer
    x = 106,974.36

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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.