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Finding the Fourth Proportional to 179,800.80, 269,701.20 and 144,808.80

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Solution

The fourth proportional to 179,800.80, 269,701.20 and 144,808.80 is: 217,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,800.80 : 269,701.20 = 144,808.80 : x
  2. Step 2: Convert to fraction form
    179,800.80/269,701.20 = 144,808.80/x
  3. Step 3: Cross multiply
    179,800.80x = 269,701.20 × 144,808.80
  4. Step 4: Simplify right side
    179,800.80x = 39,055,107,130.56
  5. Step 5: Solve for x
    x = 39,055,107,130.56/179,800.80
  6. Step 6: Final answer
    x = 217,213.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.