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Finding the Fourth Proportional to 231,019.30, 346,379.10 and 97,863.40

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Solution

The fourth proportional to 231,019.30, 346,379.10 and 97,863.40 is: 146,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,019.30 : 346,379.10 = 97,863.40 : x
  2. Step 2: Convert to fraction form
    231,019.30/346,379.10 = 97,863.40/x
  3. Step 3: Cross multiply
    231,019.30x = 346,379.10 × 97,863.40
  4. Step 4: Simplify right side
    231,019.30x = 33,897,836,414.94
  5. Step 5: Solve for x
    x = 33,897,836,414.94/231,019.30
  6. Step 6: Final answer
    x = 146,731.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.