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Finding the Fourth Proportional to 231,411.69, 347,192.87 and 105,037.11

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Solution

The fourth proportional to 231,411.69, 347,192.87 and 105,037.11 is: 157,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,411.69 : 347,192.87 = 105,037.11 : x
  2. Step 2: Convert to fraction form
    231,411.69/347,192.87 = 105,037.11/x
  3. Step 3: Cross multiply
    231,411.69x = 347,192.87 × 105,037.11
  4. Step 4: Simplify right side
    231,411.69x = 36,468,135,152.22
  5. Step 5: Solve for x
    x = 36,468,135,152.22/231,411.69
  6. Step 6: Final answer
    x = 157,589.86

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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.