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Finding the Fourth Proportional to 231,412.69, 347,194.37 and 105,038.11

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Solution

The fourth proportional to 231,412.69, 347,194.37 and 105,038.11 is: 157,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,412.69 : 347,194.37 = 105,038.11 : x
  2. Step 2: Convert to fraction form
    231,412.69/347,194.37 = 105,038.11/x
  3. Step 3: Cross multiply
    231,412.69x = 347,194.37 × 105,038.11
  4. Step 4: Simplify right side
    231,412.69x = 36,468,640,427.44
  5. Step 5: Solve for x
    x = 36,468,640,427.44/231,412.69
  6. Step 6: Final answer
    x = 157,591.36

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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.