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Finding the Fourth Proportional to 144,803.70, 199,843.20 and 81,152.28

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Solution

The fourth proportional to 144,803.70, 199,843.20 and 81,152.28 is: 111,998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,803.70 : 199,843.20 = 81,152.28 : x
  2. Step 2: Convert to fraction form
    144,803.70/199,843.20 = 81,152.28/x
  3. Step 3: Cross multiply
    144,803.70x = 199,843.20 × 81,152.28
  4. Step 4: Simplify right side
    144,803.70x = 16,217,731,322.50
  5. Step 5: Solve for x
    x = 16,217,731,322.50/144,803.70
  6. Step 6: Final answer
    x = 111,998.05

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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.