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Finding the Fourth Proportional to 148,694.50, 205,291.29 and 102,207.39

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Solution

The fourth proportional to 148,694.50, 205,291.29 and 102,207.39 is: 141,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,694.50 : 205,291.29 = 102,207.39 : x
  2. Step 2: Convert to fraction form
    148,694.50/205,291.29 = 102,207.39/x
  3. Step 3: Cross multiply
    148,694.50x = 205,291.29 × 102,207.39
  4. Step 4: Simplify right side
    148,694.50x = 20,982,286,554.07
  5. Step 5: Solve for x
    x = 20,982,286,554.07/148,694.50
  6. Step 6: Final answer
    x = 141,110.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.