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Finding the Fourth Proportional to 190,671.66, 285,959.21 and 78,382.89

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Solution

The fourth proportional to 190,671.66, 285,959.21 and 78,382.89 is: 117,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,671.66 : 285,959.21 = 78,382.89 : x
  2. Step 2: Convert to fraction form
    190,671.66/285,959.21 = 78,382.89/x
  3. Step 3: Cross multiply
    190,671.66x = 285,959.21 × 78,382.89
  4. Step 4: Simplify right side
    190,671.66x = 22,414,308,910.00
  5. Step 5: Solve for x
    x = 22,414,308,910.00/190,671.66
  6. Step 6: Final answer
    x = 117,554.49

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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.