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Finding the Fourth Proportional to 144,711.75, 199,702.83 and 84,323.82

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Solution

The fourth proportional to 144,711.75, 199,702.83 and 84,323.82 is: 116,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,711.75 : 199,702.83 = 84,323.82 : x
  2. Step 2: Convert to fraction form
    144,711.75/199,702.83 = 84,323.82/x
  3. Step 3: Cross multiply
    144,711.75x = 199,702.83 × 84,323.82
  4. Step 4: Simplify right side
    144,711.75x = 16,839,705,490.41
  5. Step 5: Solve for x
    x = 16,839,705,490.41/144,711.75
  6. Step 6: Final answer
    x = 116,367.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.