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Finding the Fourth Proportional to 231,892.80, 347,913.92 and 105,578.24

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Solution

The fourth proportional to 231,892.80, 347,913.92 and 105,578.24 is: 158,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,892.80 : 347,913.92 = 105,578.24 : x
  2. Step 2: Convert to fraction form
    231,892.80/347,913.92 = 105,578.24/x
  3. Step 3: Cross multiply
    231,892.80x = 347,913.92 × 105,578.24
  4. Step 4: Simplify right side
    231,892.80x = 36,732,139,345.10
  5. Step 5: Solve for x
    x = 36,732,139,345.10/231,892.80
  6. Step 6: Final answer
    x = 158,401.38

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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.