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Finding the Fourth Proportional to 172,473.30, 258,722.10 and 97,629.30

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Solution

The fourth proportional to 172,473.30, 258,722.10 and 97,629.30 is: 146,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,473.30 : 258,722.10 = 97,629.30 : x
  2. Step 2: Convert to fraction form
    172,473.30/258,722.10 = 97,629.30/x
  3. Step 3: Cross multiply
    172,473.30x = 258,722.10 × 97,629.30
  4. Step 4: Simplify right side
    172,473.30x = 25,258,857,517.53
  5. Step 5: Solve for x
    x = 25,258,857,517.53/172,473.30
  6. Step 6: Final answer
    x = 146,450.83

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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.