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Finding the Fourth Proportional to 144,960.45, 200,046.87 and 81,296.88

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Solution

The fourth proportional to 144,960.45, 200,046.87 and 81,296.88 is: 112,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,960.45 : 200,046.87 = 81,296.88 : x
  2. Step 2: Convert to fraction form
    144,960.45/200,046.87 = 81,296.88/x
  3. Step 3: Cross multiply
    144,960.45x = 200,046.87 × 81,296.88
  4. Step 4: Simplify right side
    144,960.45x = 16,263,186,384.77
  5. Step 5: Solve for x
    x = 16,263,186,384.77/144,960.45
  6. Step 6: Final answer
    x = 112,190.51

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1.5x scale

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.