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Finding the Fourth Proportional to 199,407.94, 299,241.31 and 119,385.61

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Solution

The fourth proportional to 199,407.94, 299,241.31 and 119,385.61 is: 179,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,407.94 : 299,241.31 = 119,385.61 : x
  2. Step 2: Convert to fraction form
    199,407.94/299,241.31 = 119,385.61/x
  3. Step 3: Cross multiply
    199,407.94x = 299,241.31 × 119,385.61
  4. Step 4: Simplify right side
    199,407.94x = 35,725,105,284.98
  5. Step 5: Solve for x
    x = 35,725,105,284.98/199,407.94
  6. Step 6: Final answer
    x = 179,155.88

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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.