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Finding the Fourth Proportional to 231,465.65, 347,226.21 and 81,675

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Solution

The fourth proportional to 231,465.65, 347,226.21 and 81,675 is: 122,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,465.65 : 347,226.21 = 81,675 : x
  2. Step 2: Convert to fraction form
    231,465.65/347,226.21 = 81,675/x
  3. Step 3: Cross multiply
    231,465.65x = 347,226.21 × 81,675
  4. Step 4: Simplify right side
    231,465.65x = 28,359,700,701.75
  5. Step 5: Solve for x
    x = 28,359,700,701.75/231,465.65
  6. Step 6: Final answer
    x = 122,522.29

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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.