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Finding the Fourth Proportional to 231,885, 347,699.70 and 71,916.66

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Solution

The fourth proportional to 231,885, 347,699.70 and 71,916.66 is: 107,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,885 : 347,699.70 = 71,916.66 : x
  2. Step 2: Convert to fraction form
    231,885/347,699.70 = 71,916.66/x
  3. Step 3: Cross multiply
    231,885x = 347,699.70 × 71,916.66
  4. Step 4: Simplify right side
    231,885x = 25,005,401,107.00
  5. Step 5: Solve for x
    x = 25,005,401,107.00/231,885
  6. Step 6: Final answer
    x = 107,835.35

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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.