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Finding the Fourth Proportional to 144,788.28, 199,797.75 and 80,256.90

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Solution

The fourth proportional to 144,788.28, 199,797.75 and 80,256.90 is: 110,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,788.28 : 199,797.75 = 80,256.90 : x
  2. Step 2: Convert to fraction form
    144,788.28/199,797.75 = 80,256.90/x
  3. Step 3: Cross multiply
    144,788.28x = 199,797.75 × 80,256.90
  4. Step 4: Simplify right side
    144,788.28x = 16,035,148,041.98
  5. Step 5: Solve for x
    x = 16,035,148,041.98/144,788.28
  6. Step 6: Final answer
    x = 110,748.94

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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.