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Finding the Fourth Proportional to 144,956.64, 200,039.78 and 81,295.80

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Solution

The fourth proportional to 144,956.64, 200,039.78 and 81,295.80 is: 112,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,956.64 : 200,039.78 = 81,295.80 : x
  2. Step 2: Convert to fraction form
    144,956.64/200,039.78 = 81,295.80/x
  3. Step 3: Cross multiply
    144,956.64x = 200,039.78 × 81,295.80
  4. Step 4: Simplify right side
    144,956.64x = 16,262,393,946.92
  5. Step 5: Solve for x
    x = 16,262,393,946.92/144,956.64
  6. Step 6: Final answer
    x = 112,187.99

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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.