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Finding the Fourth Proportional to 144,797.49, 199,833.35 and 81,148.77

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Solution

The fourth proportional to 144,797.49, 199,833.35 and 81,148.77 is: 111,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,797.49 : 199,833.35 = 81,148.77 : x
  2. Step 2: Convert to fraction form
    144,797.49/199,833.35 = 81,148.77/x
  3. Step 3: Cross multiply
    144,797.49x = 199,833.35 × 81,148.77
  4. Step 4: Simplify right side
    144,797.49x = 16,216,230,151.74
  5. Step 5: Solve for x
    x = 16,216,230,151.74/144,797.49
  6. Step 6: Final answer
    x = 111,992.48

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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.