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Finding the Fourth Proportional to 144,803.69, 199,834.49 and 81,139.13

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Solution

The fourth proportional to 144,803.69, 199,834.49 and 81,139.13 is: 111,975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,803.69 : 199,834.49 = 81,139.13 : x
  2. Step 2: Convert to fraction form
    144,803.69/199,834.49 = 81,139.13/x
  3. Step 3: Cross multiply
    144,803.69x = 199,834.49 × 81,139.13
  4. Step 4: Simplify right side
    144,803.69x = 16,214,395,866.27
  5. Step 5: Solve for x
    x = 16,214,395,866.27/144,803.69
  6. Step 6: Final answer
    x = 111,975.02

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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.